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Chapter 3: Q. 16 (page 155)

Match each graph to one the following functions.

f(x)=x2+2x

Short Answer

Expert verified

The required graph is in option B.

Step by step solution

01

Step 1. Write given function in vertex form.

The given function is:

f(x)=x2+2x

It can be written as:

f(x)=(x2+2x+1)-1f(x)=(x+1)2-1[∵(a+b)2=a2+2ab+b2]

02

Step 2. Identify the graph of the function.

The vertex of the function f(x)=a(x-h)2+kis (h,k). The graph opens up if a>0and it opens down if a<0.

In the given function a=1,h=-1,k=-1. So, the graph must be an upward parabola with vertex at (-1,-1).

03

Step 3. Conclusion.

The required graph is in option B.

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