What is the vertex form of y=9x2+12x18?

1 Answer
Dec 26, 2015

Below is the proof (a completion of square)

Explanation:

y=9x2+12x18

y=9(x2129x)18

y=9(x2129x+_ - _ ) - 18#

_=(1292)2

_=49

y=9(x2129x+49)49(9)18

y=9(x23)214

So, y=9x2+12x18 is equal to y=9(x23)214

Hopefully that explanation helped!