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91Ó°ÊÓ

In the following exercises, rewrite each function in the f(x)=a(x-h)2+kform by completing the square.

f(x)=3x2+6x-1

Short Answer

Expert verified

The function upon completing the square isf(x)=3(x+1)2-2

Step by step solution

01

Given information

Given the equation,f(x)=3x2+6x-1

02

Rewriting the expression taking common

Rewriting, we get

f(x)=3x2+6x-1f(x)=3(x2+2x)-1f(x)=3(x2+2.1.x)-1f(x)=3(x2+2.1.x+12)-1-1f(x)=3(x+1)2-2

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