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Chapter 11: Q. 517 (page 1069)

In the following exercises, write the function in fx=ax-h2+kform:

Short Answer

Expert verified

The equation isfx=x+12-5.

Step by step solution

01

Step 1. Given information.

We have given the graph

02

Step 2. Find the function using vertex form.

Notice that the graph have a vertex of -1,-5and passes through -2,-4and 0,-4.

The vertex form is given by:

fx=a(x-h)2+k

For -1,-5:

y=a(x-(-1))2+(-5)y=a(x+1)2-5

Note the graph passes through the point 0,-4. So, substitute x=0and y=-4:

localid="1667913442019" -4=a(0+1)2-5a=1

Substitute a=1in vertex form:

fx=1(x+1)2-5f(x)=x+12-5

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