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Chapter 13: Q. 3 (page 870)

Graph f(x)=2(x+1)2-4using transformations.

Short Answer

Expert verified

The graph is:

Step by step solution

01

Step 1. Given information

The given function is:y=2(x+1)2-4

02

Step 2. The graph of y=x2:

03

Step 3. The graph of y=(x+1)2

Shift horizontally above graph by 1 unit towards left.

04

Step 4. Graph of y=2(x+1)2

Increase the width of the above graph by a factor of 2.

05

Step 5. The graph of y=2(x+1)2-4

Vertically shift the above graph by 4 units to the down.

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