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Chapter 9: Q. 510 (page 986)

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

f(x)=3x2+12x+8

Short Answer

Expert verified

The required form isf(x)=3(x+2)2-4.

Step by step solution

01

Step 1. Given information. 

We have:

f(x)=3x2+12x+8

02

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

The function is f(x)=3x2+12x+8.

Add the same value to the both sides:

f(x)=3x2+4x+8

Add 4to the expression:

f(x)+3脳4=3x2+4x+4+8f(x)+12=3x+22+8f(x)=3x+22+8-12f(x)=3x+22-4

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