Hmwk 8 over sec. 2.2

1/1/24, 5:09 PM Hmwk 8 over sec. 2.2-Rachel Chrisman https://tdx.acs.pearsonprd.tech/api/v1/print/highered 1/18 1. 2. 3. 4. 5. Student: Rachel Chrisman Date: 01/01/24 Instructor: Robin Ayers Course: MATH 117 Trigonometry On Demand July 2023 - July 2025 Assignment: Hmwk 8 over sec. 2.2 Which of the following statement best describes the graph of where ? y = sin ( ) x + C C > 0 Choose the correct answer. A. The graph of can be obtained by horizontally shifting each quarter point of vertically down C units. y = sin ( ) x + C y = sin ( ) x B. The graph of can be obtained by horizontally shifting each quarter point of to the left C units. y = sin ( ) x + C y = sin ( ) x C. The graph of can be obtained by horizontally shifting each quarter point of vertically up C units. y = sin ( ) x + C y = sin ( ) x D. The graph of can be obtained by horizontally shifting each quarter point of to the right C units. y = sin ( ) x + C y = sin ( ) x If A, B, and C are constants such that , then which of the following statements is true about the graph of ? B > 1 y = A cos ( ) Bx − C Choose the correct answer. A. The period is and the phase shift is C. 2 B B. The period is and the phase shift is . 2 C B C. The period is and the phase shift is . 2 B C B D. The period is and the phase shift is C. 2 When sketching functions that require multiple transformations, a certain order is stated in the text. Which of the following order of transformations reflects the order stated in the text? Choose the correct answer. A. 1. Vertical shifts 2. Horizontal stretches/compressions 3. Reflection about the y-axis 4. Vertical stretches/compressions 5. Reflection B. 1. Horizontal shifts 2. Horizontal stretches/compressions 3. Reflection about the x-axis 4. Vertical stretches/compressions 5. Reflect C. 1. Horizontal shifts 2. Horizontal stretches/compressions 3. Reflection about the y-axis 4. Vertical stretches/compressions 5. Ref D. 1. Horizontal shifts 2. Vertical stretches/compressions 3. Reflection about the x-axis 4. Horizontal stretches/compressions 5. Reflect If A, B, C, and D are constants, then which of the following statements is true about the graph of ? y = A cos ( ) + D Bx − C Choose the correct answer. A. The range is . − A B + D, A B + D B. The range is . [ ] − A − D, A − D C. The range is . [ ] − A + D, A + D D. The range is . [ ] − A − D, A + D When sketching functions of the form and , which of the following statements is true? y = A sin ( ) + D Bx − C y = A cos ( ) + D Bx − C Choose the correct answer. A. An interval for one complete cycle of the graph is where P is the period of the given function. − A B + P, A B + P B. An interval for one complete cycle of the graph is where P is the period of the given function. − A B − P, − A B + P C. An interval for one complete cycle of the graph is where P is the period of the given function. C B , C B + P D. The range is where P is the period of the given function. − C B , − C B + P YOU ANSWERED: B.

1/1/24, 5:09 PM Hmwk 8 over sec. 2.2-Rachel Chrisman https://tdx.acs.pearsonprd.tech/api/v1/print/highered 2/18 6. 7. Determine the amplitude, range, period, and phase shift and then sketch the graph of the function using the quarter points. y = sin (x − ) The amplitude of is . y = sin (x − ) 1 (Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) The range of is . y = sin (x − ) [ − 1,1] (Type your answer in interval notation. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) The period of is . y = sin (x − ) 2 (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) The phase shift of is . y = sin (x − ) (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) Use the coordinates of the five quarter points of to determine the corresponding quarter points on the graph of . y = sin x y = sin (x − ) Quarter points of y = sin x ( ) 0,0 2 ,1 ( ) ,0 3 2 , − 1 ( ) 2 ,0 Quarter points of y = sin (x − ) 0 1 0 1 2 (Simplify your answers. Type ordered pairs. Type exact answers, using as needed. Use integers or fractions for any numbers in the expressions.) Choose the correct graph of below. y = sin (x − ) A. -2 2 x y B. -2 2 x y C. -2 2 y Determine the amplitude, range, period, and phase shift and then sketch the graph of the function using the quarter points. y = sin x + 6 The amplitude of is . y = sin x + 6 (Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) The range of is . y = sin x + 6 (Type your answer in interval notation. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) The period of is . y = sin x + 6 (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) The phase shift of is . y = sin x + 6 (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) Use the coordinates of the five quarter points of to determine the corresponding quarter points on the graph of . y = sin x y = sin x + 6 Quarter points of y = sin x ( ) 0,0 2 ,1 ( ) ,0 3 2 , − 1 ( ) 2 ,0 Quarter points of y = sin x + 6 (Simplify your answers. Type ordered pairs. Type exact answers, using as needed. Use integers or fractions for any numbers in the expressions.) Choose the correct graph of below. y = sin x + 6 A. -2 2 x y B. -2 2 x y C. -2 2 y 6 − 3 6 − 3 − 3 3 − 2 3 − 2 − 2

1/1/24, 5:09 PM Hmwk 8 over sec. 2.2-Rachel Chrisman https://tdx.acs.pearsonprd.tech/api/v1/print/highered 4/18 13. 14. 15. Determine the coordinates for the five quarter points of the function below that correspond to the five quarter points of . y = cos x y = cos x − 11 6 Use the coordinates of the five quarter points of to determine the corresponding quarter points of . y = cos x y = cos x − 11 6 Quarter points of y = cos x ( ) 0,1 2 ,0 ( ) , − 1 3 2 ,0 ( ) 2 ,1 Quarter points of y = cos x − 11 6 (Simplify your answers. Type ordered pairs. Type exact answers, using as needed. Use integers or fractions for any numbers in the expressions.) Sketch the graph of the function below. y = sin (x + ) Choose the correct graph of below. y = sin (x + ) A. -2 2 x y B. -2 2 x y C. -2 2 y Sketch the graph of the function below. y = cos x + 3 Choose the correct graph of below. y = cos x + 3 A. -2 2 x y B. -2 2 x y C. -2 2 y 6 − 3 6 − 3 − 3 4 − 2 4 − 2 − 2

1/1/24, 5:09 PM Hmwk 8 over sec. 2.2-Rachel Chrisman https://tdx.acs.pearsonprd.tech/api/v1/print/highered 5/18 16. 17. Determine the amplitude, range, period, and phase shift and then sketch the graph of the function using the quarter points. y = cos (3x − ) The amplitude of is . y = cos (3x − ) 1 (Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) The range of is . y = cos (3x − ) [ − 1,1] (Type your answer in interval notation. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) The period of is . y = cos (3x − ) 2 3 (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) The phase shift of is . y = cos (3x − ) 3 (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) Use the coordinates of the five quarter points of to determine the corresponding quarter points on the graph of . y = cos x y = cos (3x − ) Quarter points of y = cos x ( ) 0,1 2 ,0 ( ) , − 1 3 2 ,0 ( ) 2 ,1 Quarter points of y = cos (3x − ) (Simplify your answers. Type ordered pairs. Type exact answers, using as needed. Use integers or fractions for any numbers in the expressions.) Choose the correct graph of below. y = cos (3x − ) A. -2 2 x y B. -2 2 x y C. -2 2 y Determine the amplitude, range, period, and phase shift and then sketch the graph of the function using the quarter points. y = − 4 cos (6x + ) The amplitude of is . y = − 4 cos (6x + ) 4 (Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) The range of is . y = − 4 cos (6x + ) [ − 4,4] (Type your answer in interval notation. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) The period of is . y = − 4 cos (6x + ) 3 (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) The phase shift of is . y = − 4 cos (6x + ) − 6 (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) Use the coordinates of the five quarter points of to determine the corresponding quarter points on the graph of . y = cos x y = − 4 cos (6x + ) Quarter points of y = cos x ( ) 0,1 2 ,0 ( ) , − 1 3 2 ,0 ( ) 2 ,1 Quarter points of y = − 4 cos (6x + ) (Simplify your answers. Type ordered pairs. Type exact answers, using as needed. Use integers or fractions for any numbers in the expressions.) Choose the correct graph of below. y = − 4 cos (6x + ) A. -5 5 x y B. -1 1 x y C. -1 1 y 2 − 2 − − − 2 − −

1/1/24, 5:09 PM Hmwk 8 over sec. 2.2-Rachel Chrisman https://tdx.acs.pearsonprd.tech/api/v1/print/highered 7/18 19. Determine the amplitude, range, period, and phase shift and then sketch the graph of the function using the quarter points. y = − 5 cos − x + 3 Which of the following functions is equivalent to ? y = − 5 cos − x + 3 A. y = − 5 cos x + 3 B. y = 5 cos C. y = − 5 cos x − 3 D. y = 5 cos The amplitude of is . y = − 5 cos − x + 3 5 (Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) The range of is . y = − 5 cos − x + 3 [ − 5,5] (Type your answer in interval notation. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) The period of is . y = − 5 cos − x + 3 2 (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) The phase shift of is . y = − 5 cos − x + 3 3 (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) Use the coordinates of the five quarter points of to determine the corresponding quarter points on the graph of . y = cos x y = − 5 cos − x + 3 Quarter points of y = cos x ( ) 0,1 2 ,0 ( ) , − 1 3 2 ,0 ( ) 2 ,1 Quarter points of y = − 5 cos − x + 3 (Simplify your answers. Type ordered pairs. Type exact answers, using as needed. Use integers or fractions for any numbers in the expressions.) Choose the correct graph of below. y = − 5 cos − x + 3 A. -6 6 x y B. -6 6 x y C. -6 6 y 3 − 3 − −

1/1/24, 5:09 PM Hmwk 8 over sec. 2.2-Rachel Chrisman https://tdx.acs.pearsonprd.tech/api/v1/print/highered 8/18 20. 21. 22. 23. 24. Determine the amplitude, range, period, and phase shift and then sketch the graph of the function using the quarter points. y = 2 cos ( x + 3) The amplitude of is . y = 2 cos ( x + 3) 2 (Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) The range of is . y = 2 cos ( x + 3) [ − 2,2] (Type your answer in interval notation. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) The period of is . y = 2 cos ( x + 3) 2 (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) The phase shift of is . y = 2 cos ( x + 3) − 3 (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) Use the coordinates of the five quarter points of to determine the corresponding quarter points on the graph of . y = cos x y = 2 cos ( x + 3) Quarter points of y = cos x ( ) 0,1 2 ,0 ( ) , − 1 3 2 ,0 ( ) 2 ,1 Quarter points of y = 2 cos ( x + 3) (Simplify your answers. Type ordered pairs. Do not factor. Type exact answers, using as needed. Use integers or fractions for any numbers in the expressions.) Choose the correct graph of below. y = 2 cos ( x + 3) A. -3 3 x y B. -3 3 x y C. -3 3 y Determine the amplitude of the function below. y = 4 sin 3x + 4 The amplitude of is . y = 4 sin 3x + 4 (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) Determine the range of the function below. y = − 2 sin ( − 3x + ) The range of is . y = − 2 sin ( − 3x + ) (Simplify your answer. Type your answer in interval notation. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) Determine the period of the function below. y = 4 sin − 3x + 3 The period of is . y = 4 sin − 3x + 3 (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) Determine the phase shift of the function. y = 3 cos x − 3 The phase shift of is . y = 3 cos x − 3 (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) 2 − 2 − −

1/1/24, 5:09 PM Hmwk 8 over sec. 2.2-Rachel Chrisman https://tdx.acs.pearsonprd.tech/api/v1/print/highered 10/18 30. 31. Determine the amplitude, range, period, and phase shift and then sketch the graph of the function using the quarter points. y = 3 cos (2x − ) + 2 The amplitude of is . y = 3 cos (2x − ) + 2 (Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) The range of is . y = 3 cos (2x − ) + 2 (Simplify your answer. Type your answer in interval notation. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) The period of is . y = 3 cos (2x − ) + 2 (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) The phase shift of is . y = 3 cos (2x − ) + 2 (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) Use the coordinates of the five quarter points of to determine the corresponding quarter points on the graph of . y = cos x y = 3 cos (2x − ) + 2 Quarter points of y = cos x ( ) 0,1 2 ,0 ( ) , − 1 3 2 ,0 ( ) 2 ,1 Quarter points of y = 3 cos (2x − ) + 2 (Simplify your answers. Type ordered pairs. Type exact answers, using as needed. Use integers or fractions for any numbers in the expressions.) Choose the correct graph of below. y = 3 cos (2x − ) + 2 A. -6 2 x y B. -1 6 x y C. -6 6 y Determine the amplitude, range, period, and phase shift and then sketch the graph of the function using the quarter points. y = 1 − 2 cos (3x − ) The amplitude of is . y = 1 − 2 cos (3x − ) (Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) The range of is . y = 1 − 2 cos (3x − ) (Simplify your answer. Type your answer in interval notation. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) The period of is . y = 1 − 2 cos (3x − ) (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) The phase shift of is . y = 1 − 2 cos (3x − ) (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) Use the coordinates of the five quarter points of to determine the corresponding quarter points on the graph of . y = cos x y = 1 − 2 cos (3x − ) Quarter points of y = cos x ( ) 0,1 2 ,0 ( ) , − 1 3 2 ,0 ( ) 2 ,1 Quarter points of y = 1 − 2 cos (3x − ) (Simplify your answers. Type ordered pairs. Type exact answers, using as needed. Use integers or fractions for any numbers in the expressions.) Choose the correct graph of below. y = 1 − 2 cos (3x − ) A. -2 4 x y B. -4 2 x y C. -1 4 y 2 − 2 − − 2 − 2 − −

1/1/24, 5:09 PM Hmwk 8 over sec. 2.2-Rachel Chrisman https://tdx.acs.pearsonprd.tech/api/v1/print/highered 11/18 32. Determine the amplitude, range, period, and phase shift and then sketch the graph of the function using the quarter points. y = − 3 sin − x − − 1 3 Which of the following functions is equivalent to ? y = − 3 sin − x − − 1 3 A. y = − 3 sin x + − 1 3 B. y = 3 sin C. y = − 3 sin x − + 1 3 D. y = 3 sin The amplitude of is . y = − 3 sin − x − − 1 3 (Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) The range of is . y = − 3 sin − x − − 1 3 (Simplify your answer. Type your answer in interval notation. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) The period of is . y = − 3 sin − x − − 1 3 (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) The phase shift of is . y = − 3 sin − x − − 1 3 (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) Use the coordinates of the five quarter points of to determine the corresponding quarter points on the graph of . y = sin x y = − 3 sin − x − − 1 3 Quarter points of y = sin x ( ) 0,0 2 ,1 ( ) ,0 3 2 , − 1 ( ) 2 ,0 Quarter points of y = − 3 sin − x − − 1 3 (Simplify your answers. Type ordered pairs. Type exact answers, using as needed. Use integers or fractions for any numbers in the expressions.) Choose the correct graph of below. y = − 3 sin − x − − 1 3 A. -3 5 x y B. -5 1 x y C. -5 3 y 2 − 2 − −

1/1/24, 5:09 PM Hmwk 8 over sec. 2.2-Rachel Chrisman https://tdx.acs.pearsonprd.tech/api/v1/print/highered 13/18 34. 35. 36. 37. 38. Determine the amplitude, range, period, and phase shift and then sketch the graph of the function using the quarter points. y = 3 cos ( x + 4) − 4 The amplitude of is . y = 3 cos ( x + 4) − 4 (Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) The range of is . y = 3 cos ( x + 4) − 4 (Simplify your answer. Type your answer in interval notation. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) The period of is . y = 3 cos ( x + 4) − 4 (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) The phase shift of is . y = 3 cos ( x + 4) − 4 (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) Use the coordinates of the five quarter points of to determine the corresponding quarter points on the graph of . y = cos x y = 3 cos ( x + 4) − 4 Quarter points of y = cos x ( ) 0,1 2 ,0 ( ) , − 1 3 2 ,0 ( ) 2 ,1 Quarter points of y = 3 cos ( x + 4) − 4 (Simplify your answers. Type ordered pairs. Do not factor. Type exact answers, using as needed. Use integers or fractions for any numbers in the expressions.) Choose the correct graph of below. y = 3 cos ( x + 4) − 4 A. -8 2 x y B. -2 2 x y C. -1 8 y Determine the amplitude of the function. y = 2 cos ( − 3x + ) − 1 The amplitude of is . y = 2 cos ( − 3x + ) − 1 (Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) Determine the range of the function. y = − 3 sin (3x + ) + 2 The range of is . y = − 3 sin (3x + ) + 2 [ − 1,5] (Simplify your answer. Type your answer in interval notation. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) Determine the period of the function. y = 2 cos ( − 3x − 2 ) + 1 The period of is . y = 2 cos ( − 3x − 2 ) + 1 2 3 (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) Determine the phase shift of the function. y = − 4 cos ( − 3x + 2 ) − 1 The phase shift of is . y = − 4 cos ( − 3x + 2 ) − 1 2 3 (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) − − −

1/1/24, 5:09 PM Hmwk 8 over sec. 2.2-Rachel Chrisman https://tdx.acs.pearsonprd.tech/api/v1/print/highered 14/18 39. 40. 41. 42. Determine the coordinates for the five quarter points of the function below that correspond to the five quarter points of . y = cos x y = − 2 cos − 3x + − 1 6 Use the coordinates of the five quarter points of to determine the corresponding quarter points of . y = cos x y = − 2 cos − 3x + − 1 6 Quarter points of y = cos x ( ) 0,1 2 ,0 ( ) , − 1 3 2 ,0 ( ) 2 ,1 Quarter points of y = − 2 cos − 3x + − 1 6 (Simplify your answers. Type ordered pairs. Type exact answers, using as needed. Use integers or fractions for any numbers in the expressions.) Sketch the graph of the function. y = 3 cos (2x + ) + 2 Choose the correct graph of below. y = 3 cos (2x + ) + 2 A. -6 2 x y B. -2 6 x y C. -1 6 y Determine the amplitude, range, period, and phase shift and then sketch the graph of the function using the quarter points. y = 3 cos ( − 4x − ) + 3 Choose the correct graph of below. y = 3 cos ( − 4x − ) + 3 A. -7 7 x y B. -7 1 x y C. -1 7 y Sketch the graph of the function. y = 3 − 4 sin 2x + 3 Choose the correct graph of below. y = 3 − 4 sin 2x + 3 A. -2 2 x y B. -2 8 x y C. -1 8 y − − − − − − − − −

1/1/24, 5:09 PM Hmwk 8 over sec. 2.2-Rachel Chrisman https://tdx.acs.pearsonprd.tech/api/v1/print/highered 16/18 44. The graph to the right is a function of the form , B 0. The five quarter points of one cycle of the graph, from left to right, are given below. These five quarter points on the graph correspond to the five quarter points on the graph of over the interval [0,2 ]. Determine the equation of the specific function that is represented by the given graph based on the association of the labeled quarter points and the quarter points of the graph of over the interval [0,2 ]. y = A cos (Bx − C) + D > y = cos x y = cos x -3 3 x y The quarter points are , , , , and . − , − 2 2 (0,0) ,2 2 ( ,0) , − 2 3 2 a. The period of this function is . (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) b. What is the value of B? B = (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) c. What is the value of the phase shift, using a value and , where P is the period? at least − P 2 less than P 2 The phase shift is . (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) d. What is the value of C, C ? − < < C = (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) e. What is the value of A? A = (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) f. What is the value of D? D = (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) g. What is the function of the form , where B 0 and C , that is represented by the given graph? y = A cos (Bx − C) + D > − < < (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the equation.)

1/1/24, 5:09 PM Hmwk 8 over sec. 2.2-Rachel Chrisman https://tdx.acs.pearsonprd.tech/api/v1/print/highered 17/18 45. 46. 47. The graph to the right is a function of the form , B 0. The five quarter points of one cycle of the graph, from left to right, are given below. These five quarter points on the graph correspond to the five quarter points on the graph of over the interval [0,2 ]. Determine the equation of the specific function that is represented by the given graph based on the association of the labeled quarter points and the quarter points of the graph of over the interval [0,2 ]. y = A sin (Bx − C) + D > y = sin x y = sin x -4 8 x y The quarter points are , , , , and . ,2 4 ,6 3 4 ,2 5 4 , − 2 7 4 ,2 9 4 a. The period of this function is . (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) b. What is the value of B? B = (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) c. What is the value of the phase shift, using a value and , where P is the period? greater than − P 2 at most P 2 The phase shift is . (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) d. What is the value of C, C ? − < < C = (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) e. What is the value of A? A = (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) f. What is the value of D? D = (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) g. What is the function of the form , where B 0 and C , that is represented by the given graph? y = A sin (Bx − C) + D > − < < (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the equation.) The graph to the right is a function of the form , B 0. The five quarter points of one cycle of the graph, from left to right, are given below. These five quarter points on the graph correspond to the five quarter points on the graph of over the interval [0,2 ]. Determine the equation of the specific function that is represented by the given graph based on the association of the labeled quarter points and the quarter points of the graph of over the interval [0,2 ]. y = A cos (Bx − C) + D > y = cos x y = cos x -1.5 1.5 x y The quarter points are , , , , and . − ,1 6 ,0 3 , − 1 5 6 ,0 4 3 ,1 11 6 What is the function of the form , where B 0 and C , that is represented by the given graph? y = A cos (Bx − C) + D > − < < (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the equation.) The graph to the right is a function of the form , B 0. The five quarter points of one cycle of the graph, from left to right, are given below. These five quarter points on the graph correspond to the five quarter points on the graph of over the interval [0,2 ]. Determine the equation of the specific function that is represented by the given graph based on the association of the labeled quarter points and the quarter points of the graph of over the interval [0,2 ]. y = A sin (Bx − C) + D > y = sin x y = sin x -7 7 x y The quarter points are , , , , and . ( ,0) , − 5 3 2 (2 ,0) ,5 5 2 (3 ,0) What is the function of the form , where B 0 and C , that is represented by the given graph? y = A sin (Bx − C) + D > − < < (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the equation.)