Question

How do you write `4x^2-12x+7` into vertex form?

Answer 1

In vertex form
`y = m(x-a)^2+b`
where `(a,b)` is the vertex of the quadratic.

`y=4x^2-12x+7`

`y = 4(x^2-3x)+7 " extract "m`

`y=4(x^2-3x+(3/2)^2) -9+7 " complete the square"`

`y=4(x-3/2)^2- (-2)`

and the vertex is at `(3/2,-2)`