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Chapter 9: Q. 354 (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 (a)-fx=x2+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 0,4.

So,h,k=(0,4)

h=0,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

localid="1645464715500" a-2+02+4=8a22+4=84+4a=84a=4a=1

So, the required function isfx=x2+4

The given graph matches with the function (a).

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