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...
icon
Related questions
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.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning