Question

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

Answer 1

`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"`