The vertex of this parabola is at (4, -3). Which of the following could be its equation?

A. x = -3(y + 4)2 - 3

B. x = -3(y - 4)2 - 3

C. x = -3(y + 3)2 + 4

D. x = -3(y - 3)2 + 4

B) x=-3(y+3)^2+4

Step-by-step explanation:

Plug quadratic in for proof

The answer to your question is Letter C

Step-by-step explanation:

Data

Vertex (4, -3)

Process

From the image, we notice that it is a horizontal parabola that opens to the left.

So, it formula must be          (y - k)² = 4p(x - h)

-Substitute the vertex

                                             (y + 3)² = 4p(x - 4)

Consider 4p = 1

                                             (y + 3)² = x - 4

Solve for x

                                             x = (y + 3)² + 4

Solution

Letter C

step-by-step explanation:

what is the figure? attach a picture.

add a pic of the graph, then ill edit this "answer" and solve it for you : 3

step-by-step explanation: