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Chapter 9: Q. 314 (page 963)

In the following exercises, graph each function using transformations.

f(x)=(x+5)2-2.

Short Answer

Expert verified

The graph for the function is

Step by step solution

01

Step 1. Given function

f(x)=(x+5)2-2.

Now compare the given equation with

f(x)=(x+h)2+k.

We get, h=5,k=-2.

First shift the graph of x2to the left by 5units and then vertically down by 2units.

02

Step 2. First plot the graph for f(x)=x2.

The graph for the function is

03

Step 3. Final Graph

Shift the figure 5units to left and 2unit vertically down.

Therefore,

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