Question

What is the vertex of `y= 3x^2 − 300`?

Answer 1

Vertex at `(x,y)=(0,-300)`

Explanation:

Given `y=3x^2-300`

We can re-write this in the vertex form
`color(white)("XXX")y=color(green)m(x-color(red)a)^2+color(blue)b`
for a parabola with vertex at `(x,y)=(color(red)a,color(blue)b)`

In this case
`color(white)("XXX")y=color(green)3(x-color(red)0)^2+color(blue)(""(-300))`
for a parabola with vertex at `(x,y)=(color(red)0,color(blue)(-300))`