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.
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.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
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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