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Chapter 9: Q 356 (page 965)

Match the graph to one of the following functions:

(a)fx=x2+4

(b)fx=x2-4

(c)fx=x+42

(d)fx=x-42

(e)fx=x+42-4

(f)fx=x+42+4

(g)fx=x-42-4

(h)fx=x-42+4

Short Answer

Expert verified

The given graph matches with the function (h)-fx=x-42+4

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 4,4.

So, h,k=4,4

h=4,k=4

Now, find aby using another point on the graph.

03

Step 3. Value of a

The point 2,8is on the graph.

So,f(2)=8

a2-42+4=8a(-2)2+4=8-4+4a=84a=4a=1

So, the required function is f(x)=(x-4)2+4

The given graph matches with the function (h).

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