Sketch the graph of the quadratic function and the axis ofgive the equation for the axis of symmetry.9(x) = (x- 2)? - 1...Use the graphing tool to graph the function as a solid curvedashed line.Click toenlargegraphWhat is the vertex of the graph?The vertex is (2,- 1).(Type an ordered pair.)What is the equation for the axis of symmetry?(Type an equation.)

Answered: Sketch the graph of the quadratic…

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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A. Projectile Motion A child throws a ball upward from the roof of a house. The trajectory is parabolic, according to the laws of physics. The height of the ball above the ground, h(x) (in meters) is given by the quadratic function: h(x) = -3x2 + 6x + 4 where x is the horizontal distance from the house in meters. The goal of this tutorial is to graph this function and analyze and interpret the graph within the problem context. Show the following steps on the blackboard or paper as your instructor directs: a) State the coordinates of the h-intercept. Explain the meaning of this intercept within the problem context. b) Complete the square on the right-hand side to convert the function from general form to standard form. State the coordinates of the vertex. c) Find vertex by using the vertex formula. The result should be the same as in part b) above.
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 =…
Sketch the graph of the quadratic function and the axis of symmetry. State the vertex, and give the equation for the axis of symmetry. H(x) = - 6x? Use the graphing tool to graph the function as a solid curve and the axis of symmetry as a dashed line. The vertex is (Type an ordered pair.)

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