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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. . x? + y? = 49 Down 3, left 2 x? + y? = . y = x Left 1, down 1 25 Up 3, left 4 %3D

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. . x? + y? = 49 Down 3, left 2 x? + y? = . y = x Left 1, down 1 25 Up 3, left 4 %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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. . x? + y? = 49 . x² + y? . y = x³ Left 1, down 1 Down 3, left 2 %3D = 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 = x² – 1, stretched vertically by a factor of 3 · y = x2 – 1, compressed horizontally by a factor of 2 · y = 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. . x? + y? = 49 . x² + y? . y = x³ Left 1, down 1 Down 3, left 2 %3D = 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 = x² – 1, stretched vertically by a factor of 3 · y = x2 – 1, compressed horizontally by a factor of 2 · y = 1 + compressed vertically by a factor of 2
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