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

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.3: Quadratic Functions
Problem 50PS
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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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