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Chapter 11: Q. 353 (page 1069)

Match the graph to one of the following functions:

(a) fx=x2+4

(b) fx=x2鈭�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 (d)fx=x-42

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 4,0.

So,h,k=4,0

h=4,k=0

Now, find aby using another point on the graph.

03

Step 3. Value ofa

The point 2,4is on the graph.

So, f2=4

a(2-4)2+0=4a(-2)2=44a=4a=1

So, the required function is fx=x-42

The given graph matches with function (d).

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