Question

What is the the vertex of `y=(x - 8)^2 + 48`?

Answer 1

`(8,48)`

Explanation:

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

`color(red)(bar(ul(|color(white)(2/2)color(black)(y=a(x-h)^2+k)color(white)(2/2)|)))`
where (h ,k) are the coordinates of the vertex and a, is a constant.

`"For " y=(x-8)^2+48`

`a=1,h=8" and " k=48`

`rArr"vertex "=(8,48)`
graph{(x-8)^2+48 [-160, 160, -80, 80]}