Question

How do you find the vertex of a parabola `y= [x-4]^2`?

Answer 1

Find vertex

Explanation:

Vertex: x = 4 --> y = f(4) = 0

Answer 2

The vertex is at `(4,0)`

Explanation:

`y=[x-4]^2`
can be thought of as a variant of the vertex form for a parabolic equation:
`color(white)("XXXX")` `y = m(x-a)^2+b` with a vertex at `(a,b)`

Since `y=[x-4]^2`
is equivalent to `y = 1(x-4)^2 + 0`

`color(white)("XXXX")`the vertex is at `(4,0)`