domain; (b) range; (c) intercepts: (d) axis of symmetry and(e) direction of the opening of the parabolaA. MULTIPLE CHOICE. Directions: Read and answer the questions carefully. Encircle theletter of the correct answer.1. Which of the following equations represents a quadratic function?A. y 3+2x2B. 2y2 +3= xC. y 3x-22D. y 2x-32. Which of the following tables represents a quadratic function?-2-1-2-1A.C.y-5-4-2-1y.4.6.8-2-12-1В.D.3.4.-1-12.2.2.5.3.

q-1 which of the following equations represents a quadratic function? A) y=3+2x2 B) 2y2+3=x C)…

Answered: 1. Which of the following equations…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Following a change of variable, the quadratic Q = 5x² - 12x₁x2 + 0x² can be expressed with no cross-product terms as Q = C₁y1 + c₂y. If we set c₁ > C₂. then c₁ = C₂ =
The table contains values for x and y in a quadratic function. -3 12 8- -12 2. 8. What are the roots of the function? A0 and-12 C-12, 0 and I B-12,-2 and 3 (D-2and3
B. y = (x +1) -2 A. y= 2+(x +1) 42. What must be added to the expression x -3x + A. 6 43. Which of the following quadratic functions is in the vertex form? A. y=ax + bx +c 44. Which of the following is the square of a binomial x - 20x +100? A. (x+10) For item numbers 45 - 47, refer to the quadratic function f(x) = 3x2 + 5. 45. What is the vertex of the function? A. (0, 5) 46. What is the equation of the axis of symmetry? A. x = 0 47. What is the y-intercept? A. 0 48. What is the direction of the opening of the graph of y = 4x2? A. Upward 49. If the graph of y = x is shifted 7 units to the left, what will be the new equation? A. y = x + 7 50. Find two numbers such that their difference is 10 and they have the minimum product. What is the minimum D. y = (x +22) – 1 to make it a perfect square trinomial? C. y (x +1) +1 В.9 D. - B. y-c =bx C. y = a(x+c) + k D.y = a(x - h + k %3D B. (x + 20) C. (x-10) D. (x- 20) B, (5, 0) С. (3, 5) D. (5, 3) B. x = 5 C. y = 0 D. y = 5 В.3 C. 5 D. 15 B.…
Learning Module for Junior High School Mathematics 12. What are the zeros of the quadratic function y = x2-2x - 63? A. -9 & - 7 13. Which quadratic function has no zeros? A. y = x2-7 B. y = -x2 - 7 For items 14 - 17, refer to the graph at the right. 14. What is the vertex of the graph? А. (0, -1) B. (0, 1) 15. What is the zero(s) of the graph? В. — 9 &7 C. - 7 & 9 D. 7 & 9 C. y = -x2 + 7 D. y = x2 + 7x C. (-1,0) D. (1,0) c. O and 1 A. - 1 В. О 16. What is the y-intercept of the graph? А. -1 В. О 17. Which equation define the given graph? A. y = -x2- 2x - 1 B. y = -x2 - 2x + 1 18. What quadratic function that passes the point (1, 1) and to its only zero of 2? A. y = x2 - 4x - 4 B. y = x2 + 4x - 4 19. Find the equation of the quadratic function that doesn't cross the x-axis and passes through the point (1, 7). A. y = x2 + 5 B. y = 2x2+ 5 20. What quadratic function contain the points (-1, 0), (1, 0) and (4, 3)? A. y = -x2- 1 B. y = -x2+ 1 D. None С. 1 D. None C. y = -x2 + 2x - 1 D. y =…
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Please help me... Note: K=2
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1. Complete the square and determine the vertex of the following function. y = 3x² +15x+5 To complete the square, first factor outside the parentheses. Complete the square. 3 from the x-terms. Then add y= (Simplify your answer. Use integers or fractions for any numbers in the expression.) The vertex is (Simplify your answer. Type an ordered pair, using integers or fractions.) ₂ (4) ª 25/4 inside the parentheses and subtract
1. Determine the equation in standard form of the quadratic function shown. (-2,0) (3.0) -2- (4, -3)

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1. Which of the following equations represents a quadratic function? A. y 3+2x? B. 2y2 + 3=x C. y 3x-22 D. y = 2x-3 2. Which of the following tables represents a quadratic function? -2 -1 -2 -1 2. A. C. y -5 -4 -3 -2 -1 6. 8. -2 -1 -1 B. D. y. 4. 6. -1 -1 2. 4. 2. 2. 1 3.