Question

What is the vertex of `y= 3(2x-1)^2-12`?

Answer 1

`(1,-12)`

Explanation:

This is a parabola in vertex form.

Vertex form is a useful way of writing the equation of a parabola so that the vertex is visible within the equation, and doesn't require any work to determine.

Vertex form is: `y=a(x-h)^2+k`, where the vertex of the parabola is `(h,k)`.

From this, we can see that `h=1` and `k=-12`, so the vertex is at the point `(1,-12)`.

The only tricky thing to watch out for is that the sign of the `h`-value in vertex form has the OPPOSITE sign of the `x`-value in the coordinate.