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Chapter 9: Q 360 (page 966)

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

Short Answer

Expert verified

The required quadratic function isfx=2(x+1)2-5

Step by step solution

01

Step 1. Given Information

The given graph is of a quadratic function.

Consider the general form of a quadratic function.

fx=ax-h2+k

Where the vertex is h,k

A graph is given as

02

Step 2. Explanation

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

So,h,k=-1,-5

h=-1,k=-5

03

Step 3. Find the function

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

The y-intercept is 0,-3.

So,f0=-3

a0+12-5=-3a(1)2-5=-3a-5=-3a=-3+5a=2

So, the required function isfx=2x+12-5

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