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What is y=x^2+5x+4 written in vertex form

 Nov 13, 2014

Best Answer 

 #1
avatar+118723 
+5

$$\begin{array}{rll}
y&=&x^2+5x+4\\
y-4&=&x^2+5x\\
y-4+(5/2)^2&=&x^2+5x+(5/2)^2\\
y-4+25/4&=&x^2+5x+25/4\\
y+2.25&=&(x+5/2)^2\\
(x+2.5)^2&=&y+2.25\\
\end{array}\\\\
vertex\;\;(-2.5,-2.25)$$

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 Nov 13, 2014
 #1
avatar+118723 
+5
Best Answer

$$\begin{array}{rll}
y&=&x^2+5x+4\\
y-4&=&x^2+5x\\
y-4+(5/2)^2&=&x^2+5x+(5/2)^2\\
y-4+25/4&=&x^2+5x+25/4\\
y+2.25&=&(x+5/2)^2\\
(x+2.5)^2&=&y+2.25\\
\end{array}\\\\
vertex\;\;(-2.5,-2.25)$$

Melody Nov 13, 2014

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