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Chapter 9: Q. 313 (page 963)

In the following exercises, graph each function using transformations.

f(x)=(x+3)2-1.

Short Answer

Expert verified

The graph for the function is

Step by step solution

01

Step 1. Given function

f(x)=(x+3)2-1.

Now compare the given equation with

(x+h)2+k.

We get, h=3,k=-1.First shift the graph of x2to the left by 3units and then vertically downward by 1units.

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 3units to left and 1unit vertically down.

Therefore,

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