What is the vertex of the parabola defined by the equation(x − 2)2 = -12(y − 2)?A. (-12, 2)B. (2, 2)C. (6, 2)D. (2, -2)

Answer:The vertex of the parabola is (2 , 2) ⇒ answer BStep-by-step explanation:* Lets revise the equation of a parabola - The equation is in the form (x − h)² = 4p (y − k), where h and k are the  vertex of the parabola- If  p > 0, the parabola opens up  - If p < 0, the parabola opens down* Lets solve the problem∵ The equation of the parabola is (x - h)² = 4p (y - k)∵ The equation of the parabola is (x - 2)² = -12 (y - 2)- By comparing the two equations∴ 4p = -12 ⇒ divide both sides by 4∴ p = -3 ⇒ -3 < 0∵ p < 0∴ The parabola opens down- From the two equations∴ h = 2 ⇒ the x-coordinate of the vertex∴ k = 2 ⇒ the y-coordinate of the vertex∴ The vertex of the parabola is (2 , 2)