Convert the function into intercept form. Show your work

y=x^2+5x+36

mathretarted Oct 24, 2018

#1**+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)

CPhill Oct 24, 2018