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Chapter 9: Q. 312 (page 963)

In the following exercises, graph each function using transformations.

f(x)=(x-3)2+4.

Short Answer

Expert verified

The graph for the function is

Step by step solution

01

Step 1. Given function

f(x)=(x-3)2+4.

Now compare the given equation with

(x+h)2+k.

We get, h=-3,k=4.

First shift the graph of x2to the right by 3units and then vertically up by4 units.

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 3 units to right and 4unit vertically.

Therefore,

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