Question

How do you write the quadratic function in standard form `y=-(x+2)^2-7`?

Answer 1

`y=-x^2-4x-11`

Explanation:

`"the standard form of a quadratic function is "`

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

`"expand " (x+2)^2" using FOIL method gives"`

`y=-(x^2+4x+4)-7`

`color(white)(y)=-x^2-4x-4-7`

`color(white)(y)=-x^2-4x-11larrcolor(red)" in standard form"`