1. Tell how many units and in what directions the graphs of the given equations are to be shifted. Give an equation for the shifted graph. Then sketch the original and shifted graphs together, labeling each graph with its equation. . x² + y? . x? + y? = 25 • y = x Left 1, down 1 49 Down 3, left 2 Up 3, left 4 %3D

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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1. Tell how many units and in what directions the graphs of the given equations
are to be shifted. Give an equation for the shifted graph. Then sketch the
original and shifted graphs together, labeling each graph with its equation.
. x² + y? = 49 Down 3, left 2
. x? + y?
. y = x Left 1, down 1
= 25 Up 3, left 4
2. Tell by what factor and direction the graphs of the given functions are
to be stretched or compressed. Give an equation for the stretched or
compressed graph.
• y = x? – 1,
. y = x? - 1,
stretched vertically by a factor of 3
compressed horizontally by a factor of 2
y = 1 +
1
compressed vertically by a factor of 2
-
Transcribed Image Text:1. Tell how many units and in what directions the graphs of the given equations are to be shifted. Give an equation for the shifted graph. Then sketch the original and shifted graphs together, labeling each graph with its equation. . x² + y? = 49 Down 3, left 2 . x? + y? . y = x Left 1, down 1 = 25 Up 3, left 4 2. Tell by what factor and direction the graphs of the given functions are to be stretched or compressed. Give an equation for the stretched or compressed graph. • y = x? – 1, . y = x? - 1, stretched vertically by a factor of 3 compressed horizontally by a factor of 2 y = 1 + 1 compressed vertically by a factor of 2 -
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