Use completing the square to write f(x)=x^2+3x-18 in vertex form

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natrycbbu

Mathematics

Description

Use completing the square to write f(x)=x^2+3x-18 in vertex form. What is the vertex for the function and how can you confirm the vertex

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Explanation & Answer

f(x)=x2+3x-18

=x2+2*x*3/2+9/4 -18-9/4

= (x+3/2)2-81/4

(y+81/4) = (x+3/2))2

Writing y' =(y+81/40 and x' =(x+3/2)

y'= x'^2

Vertex  (-3/2, -81/4)


Anonymous
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