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Chapter 11: Q. 325 (page 1069)

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

f(x)=-3x2-12x-5

Short Answer

Expert verified

The function upon completing the square isf(x)=-3(x+2)2+7

Step by step solution

01

Given information

Given the equationf(x)=-3x2-12x-5

02

Rewrite the equation taking common

Taking common and simplifying, we get

f(x)=-3x2-12x-5f(x)=-3(x2+4x)-5f(x)=-3(x2+2路2路x+22)-5+12f(x)=-3(x+2)2+7

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Most popular questions from this chapter

Multiply : (a)4x2(2x2-3x+5)

(b)-6a3b(3a2-2ab+6b2)

In the following exercises, simplify each expression using the properties for exponents.

鈸�q27路q15鈸�5x路54x鈸�9u41路7u53鈸�c5路c11路c2

Simplify48.

Simplify::
(a)3612

(b)813

(c)1614

In the following exercises, add or subtract.

-75+-48
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