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Convert the function into intercept form. Show your work

y=x^2+5x+36

 Oct 24, 2018
edited by mathretarted  Oct 24, 2018
 #1
avatar+100569 
+2

I think you mean "vertex" form

 

y  =  x^2 + 5x +  36

 

Take 1/2 of 5  = 5/2...square this  = 25/4.....add it and subtract it on the right

 

y =  x^2 + 5x  + 25/4  + 36  - 25/4     factor  and simplify

 

y = ( x + 5/2)^2  + [ 144 - 25] / 4

 

y = ( x + 5/2)^2  + 119/4   ⇒   vertex form

 

The vertex  is  (-5/2, 119/4)

 

 

cool cool cool

 Oct 24, 2018
 #2
avatar+22 
+1

Thank you!

mathretarted  Oct 24, 2018

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