How do you write y=-5/4(x+4)^2+15 in standard form?

1 Answer
Jim G.
Apr 12, 2017

y=-5/4x^2-10x-5

Explanation:

The standard form of a color(blue)"quadratic function" is.

color(red)(bar(ul(|color(white)(2/2)color(black)(y=ax^2+bx+c;a!=0)color(white)(2/2)|)))

"Rearrange " y=-5/4(x+4)^2+15" into this form"

"Expand " (x+4)^2" using FOIL method"

rArry=-5/4(x^2+8x+16)+15

color(white)(rArry)=-5/4x^2-10x-20+15larr" distributing"

rArry=-5/4x^2-10x-5larrcolor(red)" in standard form"

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