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1) The graph of the function f(x) =x -6x shifted 2 units to the left onto the graph of g(x). Select the two functions that represent the shift of f(x) onto g(x). A) g(x) = f(x – 2) C) g(x) = f(x + 2) E) g(x) = x2 - 10x + 16 B) g(x) = x² – 2x – 8 D) g(x) = x -6x – 2 2) What is the avera

1) The graph of the function f(x) =x -6x shifted 2 units to the left onto the graph of g(x). Select the two functions that represent the shift of f(x) onto g(x). A) g(x) = f(x – 2) C) g(x) = f(x + 2) E) g(x) = x2 - 10x + 16 B) g(x) = x² – 2x – 8 D) g(x) = x -6x – 2 2) What is the avera

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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1 of 5 + 50% PART 2: CALCULATOR ALLOWED-50 MINUTES The graph of the function f(x) =x - 6x shifted 2 units to the left onto the graph of g(x). Select the two functions that represent the shift of f(x) onto g(x). A) g(x) = f(x - 2) C) g(x) = f(x + 2) E) g(x) = x2 - 10x + 16 B) g(x) = x- 2x – 8 D) g(x) = x2-6x - 2 2) What is the average rate of change of the functionf(x) = 2r - 3x-4 for -3 <I<-1? A) 22 B) -22 C) 11 D) -11 3) Consider the functions f(x) and g(x). f (x) = x-16 8 (x) = 3x – 12 What value(s) of x makes f(x) = g(x)? A) -4 B) -3 C) O D) -1 E) 4 4) Which factored form of 10x + 120x + 320 reveals all the zeros of the function it defines? A) 10(x + 6)2 – 40 C) 10(x + 8)(x + 4) B) 10x(x + 12) + 320 D) 10(x + 12x + 32) 5) What are the two solutions to f(x) = g(x) when f(x) = x² + 3 and g(x) = -x+ 9 Express your answers as ordered pairs, A) (-3,12) B) (-3,2) C) (2,-3) D) (3,12) E) (2,7) 6) Which value of x satisfies the equation 3x(x + 7) = 4(x + 5x – 3)? A) -7 B) 3 C) -4 D) 4 7) The graph of the quadratic function f(x) has a maximum of (-1,4) and passes through the point (-2,3). The function g(x) is represented by the equation g(x) = (x + 2) (x - 4). Which function has the greatest y-intercept and how much greater is it than the y-intercept of the other function? A) g(x), 11 greater B) f(x), 11 greater C) g(x), 8 greater D) f(x), 12 greater
Transcribed Image Text:1 of 5 + 50% PART 2: CALCULATOR ALLOWED-50 MINUTES The graph of the function f(x) =x - 6x shifted 2 units to the left onto the graph of g(x). Select the two functions that represent the shift of f(x) onto g(x). A) g(x) = f(x - 2) C) g(x) = f(x + 2) E) g(x) = x2 - 10x + 16 B) g(x) = x- 2x – 8 D) g(x) = x2-6x - 2 2) What is the average rate of change of the functionf(x) = 2r - 3x-4 for -3 <I<-1? A) 22 B) -22 C) 11 D) -11 3) Consider the functions f(x) and g(x). f (x) = x-16 8 (x) = 3x – 12 What value(s) of x makes f(x) = g(x)? A) -4 B) -3 C) O D) -1 E) 4 4) Which factored form of 10x + 120x + 320 reveals all the zeros of the function it defines? A) 10(x + 6)2 – 40 C) 10(x + 8)(x + 4) B) 10x(x + 12) + 320 D) 10(x + 12x + 32) 5) What are the two solutions to f(x) = g(x) when f(x) = x² + 3 and g(x) = -x+ 9 Express your answers as ordered pairs, A) (-3,12) B) (-3,2) C) (2,-3) D) (3,12) E) (2,7) 6) Which value of x satisfies the equation 3x(x + 7) = 4(x + 5x – 3)? A) -7 B) 3 C) -4 D) 4 7) The graph of the quadratic function f(x) has a maximum of (-1,4) and passes through the point (-2,3). The function g(x) is represented by the equation g(x) = (x + 2) (x - 4). Which function has the greatest y-intercept and how much greater is it than the y-intercept of the other function? A) g(x), 11 greater B) f(x), 11 greater C) g(x), 8 greater D) f(x), 12 greater
8) The line y = 8x-4 intersects the parabola y = x + 2x +5 at exactly one point. What are the coordinates of the point of intersection? A) (3,0) B) (4,8) C) (3,20) D) (-3,-28) 9) (2 + 4x)2 Which expression is equivalent to A) 8x2 + 2 B) 4x2 + 8x + 2 C) 8x2 + 8x + 2 D) 4x2 + 4x +1 10) The graph of f (x) = x is translated to produce the graph of g(x) = (x- 3)2 +5. Which describes how the graph of f(x) is translated? A) Down 5, Right 3 B) Up 5, Left 3 C) Up 5, Right 3 D) Down 5, Left 3 11) 1 that passes through the point (4,-6) ? What is an equation for a line with a slope of y = 2x – 14 B) y = -x+4 C) y=-x-4 D) y =-x+2 12) Write an equivalent form of the quadratic function f(x) = 2r + 12x + 20 by completing the square. A) f(x) = 2(x+ 6)² – 16 C) f(x) = 2(x + 3)² + 11 B) f(x) = 2(x + 6)² – 52 D) f(x) = 2(x + 3)² + 2 13) Two fitness clubs are adding new members. Fitness Club A currently has 450 members and adds 15 new members each month. Fitness Club B currently has 400 members and adds 25 new members each month. After how many will Fitness Club A and Fitness Club B have the same number of members? A) 2 B) 5 C) 450 D) 525 14) The formula for the area of a pentagon is defined as P =sa. What is the formula in terms of s? A.s= C.s= B. s = D. s = 5Pa 15) Select all the expressions that are equivalent to (2)** A. (4)+2 B. 4(2)+4 C. 8(2)" D. 16(2)" E. (2)2n+3
Transcribed Image Text:8) The line y = 8x-4 intersects the parabola y = x + 2x +5 at exactly one point. What are the coordinates of the point of intersection? A) (3,0) B) (4,8) C) (3,20) D) (-3,-28) 9) (2 + 4x)2 Which expression is equivalent to A) 8x2 + 2 B) 4x2 + 8x + 2 C) 8x2 + 8x + 2 D) 4x2 + 4x +1 10) The graph of f (x) = x is translated to produce the graph of g(x) = (x- 3)2 +5. Which describes how the graph of f(x) is translated? A) Down 5, Right 3 B) Up 5, Left 3 C) Up 5, Right 3 D) Down 5, Left 3 11) 1 that passes through the point (4,-6) ? What is an equation for a line with a slope of y = 2x – 14 B) y = -x+4 C) y=-x-4 D) y =-x+2 12) Write an equivalent form of the quadratic function f(x) = 2r + 12x + 20 by completing the square. A) f(x) = 2(x+ 6)² – 16 C) f(x) = 2(x + 3)² + 11 B) f(x) = 2(x + 6)² – 52 D) f(x) = 2(x + 3)² + 2 13) Two fitness clubs are adding new members. Fitness Club A currently has 450 members and adds 15 new members each month. Fitness Club B currently has 400 members and adds 25 new members each month. After how many will Fitness Club A and Fitness Club B have the same number of members? A) 2 B) 5 C) 450 D) 525 14) The formula for the area of a pentagon is defined as P =sa. What is the formula in terms of s? A.s= C.s= B. s = D. s = 5Pa 15) Select all the expressions that are equivalent to (2)** A. (4)+2 B. 4(2)+4 C. 8(2)" D. 16(2)" E. (2)2n+3
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