# What is the standard form equation for the parabola y=(x-4)(x-8)?

Jul 25, 2016

$y + 4 = {\left(x - 6\right)}^{2}$.

#### Explanation:

Given that, $y = \left(x - 4\right) \left(x - 8\right) = {x}^{2} - 12 x + 32$

$\Rightarrow y - 32 = {x}^{2} - 12 x$

Completing the square on R.H.S.,

$y - 32 + 36 = {x}^{2} - 12 x + 36 = {\left(x - 6\right)}^{2}$

$\therefore y + 4 = {\left(x - 6\right)}^{2}$.