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

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Answer 1 · 2016-12-15T17:22:09

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

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)#