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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