Answer:
The vertex of the parabola is (2 , 2) ⇒ answer B
Step-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)
