5. The zeros of a quadratic relation occur at x = 0 and x = 6.The second differences are positive.a) Is the y-value of the vertex a maximum value or a minimumvalue? Explain.b)Is the y-value of the vertex a positive number or a negativenumber? Explain.c)Determine the x-value of the vertex.

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Answered: 5. The zeros of a quadratic relation…

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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What are the essential parts of a quadratic graph?
Based on a grade 10 student, answer the following question: Consider the quadratic relation y=2x2-4x+5 a. Convert to vertex form by completing the square. b. Explain whether this relation has a maximum or a minimum.
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 =…
Explain why the vertex is important when you are trying to find either the maximum y-value or the mini- mum y-value on the graph of a quadratic function.
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5. The zeros of a quadratic relation occur at x = 0 and x = 6. The second differences are positive. a) Is the y-value of the vertex a maximum value or a minimum value? Explain. b) Is the y-value of the vertex a positive number or a negative number? Explain. c) Determine the x-value of the vertex.