Question

What is the vertex form of `y=-x^2+4x+4`?

Answer 1

`y=-(x-2)^2+8`

Explanation:

`"the equation of a parabola in "color(blue)"vertex form"` is.

`•color(white)(x)y=a(x-h)^2+k`

`"where "(h,k)" are the coordinates of the vertex and a "`
`"is a multiplier"`

`"to obtain this form "color(blue)"complete the square"`

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

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

`color(white)(y)=-(x-2)^2+8larrcolor(red)"in vertex form"`