Question

How do you write the quadratic equation in standard form `x^2 - 12 + 4x = (x - 2)^2 + 2`?

Answer 1

you have to expand the left hand side and rearrange to have 0 on one side.

Explanation:

so first expand `(x-2)^2 +2` to `x^2-4x+4`
leaving us with
`x^2+4x-12=x^2-4x+4`
`8x-18=0`

which is in standard form.