Question

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

Answer 1

ANSWER

Option B

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.