The vertex of this parabola is at (2, -4). Which of the following could be its equation?

A.y = 2(x - 2)2 + 4

B.x = 2(y + 4)2 + 2

C.x = 2(y - 4)2 + 2

D.y = 2(x - 2)2 - 4

The answer to your question is letter B

Step-by-step explanation:

Data

Vertex = (2, -4)

Process

From the image we know that it is a horizontal parabola that opens to the right so the equation must be

                         (y - k)² = 4p(x - h)

Let 4p be 1

- Substitution

                         (y + 4)² = (x - 2)

- Solve for  x

                        (y + 4)² = x - 2

- Result

                        x = (y + 4)² + 2            

The answer is letter B, because of the signs.              

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