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Chapter 3: Q. 12 (page 155)

Match each graph to one the following functions.

f(x)=-x2-1

Short Answer

Expert verified

The required graph is in option E.

Step by step solution

01

Step 1. Given information.

The given function is:

f(x)=-x2-1

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=0,k=-1. So, the graph must be a downward parabola with vertex at (0,-1).

03

Step 3. Conclusion.

The required graph is in option E.

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