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Chapter 9: Q. 509 (page 986)

In the following exercises, rewrite each function in the f(x)=ax-h2+kform by completing the square.

fx=2x2-4x-4

Short Answer

Expert verified

The required form isf(x)=2x-12-6.

Step by step solution

01

Step 1. Given information.

We have:

fx=2x2-4x-4

02

Step 2. Rewrite in the required form using completing the square.

The function is fx=2x2-4x-4.

fx=2x2-2x-4

Add 2to both sides:

fx+2=2x2-2x+1-4f(x)+2=2x-12-4f(x)=2x-12-4-2f(x)=2x-12-6

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Most popular questions from this chapter

Find the base and height of a triangle whose base is four inches more than six times its height and has an area of 456 square inches.

In the following exercises, solve by using the Quadratic Formula.
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