# How do you write the standard form equation of the parabola y=4(x-2)^2-1?

Nov 11, 2017

$y = 4 {x}^{2} - 16 x + 15$

#### Explanation:

$\text{expand the factor "(x-2)^2" using FOIL method}$

$\Rightarrow y = 4 \left({x}^{2} - 4 x + 4\right) - 1$

$\textcolor{w h i t e}{\Rightarrow y} = 4 {x}^{2} - 16 x + 16 - 1 \leftarrow \textcolor{b l u e}{\text{distributing}}$

$\textcolor{w h i t e}{\Rightarrow y} = 4 {x}^{2} - 16 x + 15 \leftarrow \textcolor{b l u e}{\text{in standard form}}$