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Q. 13

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Precalculus Enhanced with Graphing Utilities
Found in: Page 155
Precalculus Enhanced with Graphing Utilities

Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465

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Short Answer

Match each graph to one the following functions.

f(x)=x2-2x+1

The required graph is in option F.

See the step by step solution

Step by Step Solution

Step 1. Given information.

The given function is:

f(x)=x2-2x+1

It can be written as:

localid="1645873350675" f(x)=(x-1)2 [(a-b)2=a2-2ab+b2]

Step 2. Identify the graph of the function.

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

In the given function a=1,h=1, k=0. So, the graph must be an upward parabola with vertex at (1,0).

Step 3. Conclusion.

The required graph is in option F.

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