Question

Which graph represents the parabolic equation
(x − 2)2 = 12(y − 3)?

Answer 1

Answer: B

Step-by-step explanation: I got this correct on Edmentum.

Answer 2

Option B

Step-by-step explanation

The equation given to us is;

`{(x - 2)}^(2) = 12(y - 3)`

Comparing this to the general parabolic equation:

`{(x - h)}^(2) = 4p(y - k)`

We have h=2 and k=3.

The vertex of this parabola is (h,k) which is (2,3).

This parabola also opens upwards because the value of p is positive.

The correct graph is B.