Question

What is the vertex form of `y=2x^2-18x+4`?

Answer 1

`y= 2(x-9/2)^2 -73/2`

Explanation:

`y= 2(x^2 -9x)+4`

`=2 (x^2 -9x +81/4 -81/4)+4`

`= 2 (x^2 -9x +81/4) -81/2 +4`

`= 2(x-9/2)^2 -73/2`, which is the required form.