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

##### 1 Answer

Nov 11, 2017

#### Explanation:

#"expand the factor "(x-2)^2" using FOIL method"#

#rArry=4(x^2-4x+4)-1#

#color(white)(rArry)=4x^2-16x+16-1larrcolor(blue)"distributing"#

#color(white)(rArry)=4x^2-16x+15larrcolor(blue)"in standard form"#