Question

The vertex of this parabola is at (1, 3). Which of the following could be its equation?

A. x = 3(y - 3)2 - 1
B.y = 3(x + 1)2 - 3
C.x = 3(y - 3)2 + 1
D.y = 3(x + 1)2 + 3

Answer 1

C.) x = 3(y - 3)^2 + 1

Explanation:

it was correct for me

Answer 2

Explanation:

The basic equation for a y = x-squared parabola is

`y=a(x-h)^2+k` so using the info given, our equation would have to be:

`y=3(x-1)^2+3` and that is not one of our options. No worries, we have another option.

The basic equation for an x = y-squared parabola is

`x=a(y-k)^2+h` so using the info given, our equation would have to be:

`x=3(y-3)^2+1` which is option C.