Question

What is the focus of the parabola given by the equation x = 3(y - 1)2 + 2?

Answer 1

We are given the parabola in vertex form. We know the vertex will be (2, 1), where x = 2 and y = 1. The The coordinate of the focus is (x, y - 1) where x and y are the x/y values for the vertex of the parabola. Hence the focus is at:\[\bf (x,y-1)=(2, 0)\]

Answer 2

So, that is your answer?
(2,0)

My guess is that the focus would be at (2, 11 over 12)