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Chapter 9: Q. 352 (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 (e)-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.

f(x)=a(x-h)2+k

Where the vertex ish,k

02

Step 2. Explanation

From the graph, the vertex is at -4,4.

So,role="math" localid="1645336900304" h,k=-4,4

h=-4,k=4

Now, find a by using another point on the graph.

03

Step 3. Value of a

The point -2,8is on the graph.

So, f-2=8

role="math" localid="1645336798642" a-2+42+4=8a(2)2+4=84+4a=84a=4a=1

So, the required function is fx=x+42+4

The given graph matches with function (e)..

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