Consider the quadratic function q(x) = x 2 + 6x − 16. Respond to the following (in any order): (a) Show how to locate the coordinates of the vertex. (b) Write an equation for the axis of symmetry. (c) Determine the x-intercepts and the y-intercept exactly. (d) Sketch a graph of the function showing the vertex, axis of symmetry, x-intercepts, and y-intercept.

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter10: Quadratic Equations
Section10.5: Graphing Quadratic Equations
Problem 10.108TI: A toy rocket shot upward from the ground at a rate of 208 ft/sec has the quadratic equation of...
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Consider the quadratic function q(x) = x 2 + 6x − 16. Respond to the following (in any order):

(a) Show how to locate the coordinates of the vertex.

(b) Write an equation for the axis of symmetry.

(c) Determine the x-intercepts and the y-intercept exactly.

(d) Sketch a graph of the function showing the vertex, axis of symmetry, x-intercepts, and y-intercept.

(e) Write an equation for the function, p, that results from shifting the graph of the function q to the left 4 units and up 3 units.

(f) Graph the function p on the same axes as the function q.

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