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Chapter 9: Q 359 (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 isf(x)=2(x-1)2-3

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,-3.

So,h,k=1,-3

h=1,k=-3

03

Step 3. Find the function

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

The y-intercept is 0,-1.

So,f0=-1

a(0-1)2-3=-1a(1)2-3=-1a-3=-1a=-1+3a=2

So, the required function isf(x)=2(x-1)2-3

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