How do you write the function in standard form y=1/2(8x-1)^2-3/2?

1 Answer
Jan 9, 2018

y=32x^2-8x-1

Explanation:

"the equation of a parabola in "color(blue)"standard form" is.

•color(white)(x)y=ax^2+bx+c color(white)(x);a!=0

"expand the factor "(8x-1)^2" using FOIL"

y=1/2(64x^2-16x+1)-3/2

"distribute the bracket"

y=32x^2-8x+1/2-3/2

color(white)(y)=32x^2-8x-1larrcolor(red)"in standard form"