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

ANSWER
Option B
EXPLANATION
The equation given to us is;
[tex] {(x - 2)}^{2} = 12(y - 3)[/tex]
Comparing this to the general parabolic equation:
[tex] {(x - h)}^{2} = 4p(y - k)[/tex]
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.