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Chapter 9: Q. 306 (page 963)

In the following exercises, graph each function using a vertical shift.

f(x)=(x+3)2

Short Answer

Expert verified

The graph using horizontal shift will be

Step by step solution

01

Step 1. Given

The functionf(x)=(x+3)2

To graph the function

02

Step 2. Draw the graph of f(x)=x2.

Sketch the graph

03

Step 3. Determine the value of horizontal shift.

Determine the value of k

f(x)=(x+3)2 comparingitwithf(x)=(x-h)2 weget,h=-3Therefore,shifttheparabolaby3unitshorizontallyonnegativexaxis.

04

Step 4. Sketch the graph of the given function

The graph of the function

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