Question

How do you find the vertex of `f(x)=2(x-3)^2+1`?

Answer 1

vertex: `color(green)(""(3,1))`

Explanation:

The general quadratic vertex form is
`color(white)("XXX")f(x)=color(orange)m(x-color(red)a)^2+color(blue)b`
with vertex at `(color(red)a,color(blue)b)`

The given quadratic
`color(white)("XXX")f(x)=color(orange)2(x-color(red)3)^2+color(blue)1`
is a specific example of this vertex form
with vertex at `(color(red)3,color(blue)1)`