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Q55.

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Algebra 2
Found in: Page 416
Algebra 2

Algebra 2

Book edition Middle English Edition
Author(s) Carter
Pages 804 pages
ISBN 9780079039903

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Short Answer

Write the equationy=x2-4x+1 in the form y=ax-h2+k.

The required form of the equation in y=ax-h2+k is y=x-22-3 wherea=1,h=2 and k=-3.

See the step by step solution

Step by Step Solution

Step 1. Write down the given information.

The given equation isy=x2-4x+1.

Step 2. Calculation.

The given equation y=x2-4x+1 is converted to y=ax-h2+kform as:

y=x24x+1=x24x+1+2222....Add and subtractsquare of 22=x24x+22+122=x223

Here a=1,h=2 and k=-3.

Step 3. Conclusion.

The required form of the given equation isy=x-22-3 where a=1,h=2 and k=-3.

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