Golfer BStandard Form:y=x²-9Factored form: y = (x+3)(x-3) Facty =State the y-interceptState the x-intercept(s)Determine the Axis ofsymmetry(AOS)Determine the Max/min valueDetermine the VertexxGolfeStanStatStaDesynDyDoes the graph make sense in termsof the word problem? Explain!

The given quadratic function y=x2-9. We have to find its x-intercept, y-intercept, axis of symmetry,…

Answered: Golfer B Standard Form: y=x²-9 Factored…

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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4. State the coordinates Multiple Choice - circle the correct answer 5. The graph of a quadratic function is called a a. Parabola b. Vertex c. Axis of Symmetry 6. Which expression is equivalent to (2x + 8) (2x + 8)? a. 4x² +64 b. 4x² - 64 c.) 4x² + 32x + 64 d. 4x² + 32x - 64 d. Vertex Form 7. You can sketch a parabola with the following information except for one: (a) Step Pattern, Vertex, Roots, Axis of Symmetry and Maximum or minimum Value. (b) Step Pattern, Vertex, Boots, Axis of Symmetry and Maximum or minimum Value. (c) Vertex, Roots, Axis of Symmetry and Step Pattern (d) Zero Points, Axis of Symmetry and Maximum or minimum Value. Fill in the Blanks 8. Given the equation Y = 9(X - 12) -20 determine its optimal value 9. In order to find the vertex of an equation written in standard form you need to find the axis of symmetry and the maximum and minimum points. True False 10. Kadeem's coach used the equation h = -4 (t - 1) (t - 4) to model the trajectory of his high jump, where h is…
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Version A Pick one of the two problems. Find the vertex, determine if the vertex is a maximum or a minimum, find the axis of symmetry, and find the y-intercept. 1.) y = 3x² - 6x + 7 2.)/(x) = x² +8x + 15 Pick one of the two problems. Find the vertex, determine if the vertex is a maximum or a minimum, find the axis of symmetry, and find the y-intercept. 3.) f(x) = -2(x + 1)² – 9 4.) y = 5(x - 6)² + 1 Pick one of the two problems. Find the x-intercepts, vertex, determine if the vertex is a maximum or a minimum, find the axis of symmetry, and find ther y-intercept. 5.) f(x) = -(x - 5)(x + 1) 6.) y = -2(x + 4)(x + 6) Solve both problems. Find the quadratic equation in vertex form from the given vertex and the point. Point (-1.-7) (2.11) Point: 11.) Vertex: 10.) Vertex: (3,4) (7,-12) Pick one of the previous two problems and explain how you solved for each part.
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.
Give the coordinates of the vertex and graph the quadratic y=(x-3)^2+7

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