Question

How do you write the vertex form equation of the parabola `y = (x - 3)^2 + 36`?

Answer 1

The vertex is `(3,36)`.

Explanation:

The vertex of parbola `y=(x-h)^2+k` is `(h,k)`. Comparing `y=(x-3)^2+36` with `y=(x-h)^2+k` we get `h=3 and k=36`

So the vertex is `(3,36)`.

Answer 2

`"in vertex form"`

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 multiplier"`

`y=(x-3)^2+36larrcolor(blue)"in vertex form"`