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

1 Answer
Dec 15, 2016

y=color(red)(-2)x^2color(blue)(-10)xcolor(green)(-8)

Explanation:

The standard form of a second-degree function (parabola) is y=color(red)ax^2+color(blue)bx+color(green)c

y=-2(x+4)(x+1)

Distribute the -2 into (x+4) and then multiply the product by (x+1)

color(white)y=(-2x-8)(x+1)

color(white)y=-2x^2-2x-8x-8

Add like terms

y=color(red)(-2)x^2color(blue)(-10)xcolor(green)(-8)