Convert the function into intercept form. Show your work
y=x^2+5x+36
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)