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Chapter 9: Q 357 (page 966)

Write the quadratic function shown in the graph in the form of fx=ax-h2+k

Short Answer

Expert verified

The required quadratic function isfx=x+12-5

Step by step solution

01

Step 1. Given Information

A graph is given as

The given graph is of a quadratic function.

Consider the general form of a quadratic function.

fx=ax-h2+k

Where the vertex ish,k

02

Step 2. Explanation

From the graph, the vertex is at -1,-5.

So,h,k=-1,-5

h=-1,k=-5

Now, find aby using y-intercept of the function.

03

Step 3. Find the function

The y-intercept is 0,-4.

So,f0=-4

a0+12-5=-4a12-5=-4a-5=-4a=-4+5a=1

So, the required function isfx=x+12-5

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