The vertex of this parabola is at (4,-3). Which of the following could be its equation?
A. x==3(y - 3)2 + 4
B. X=-3(+4)2-3
C. X=-3(-4) 2-3
D. X=-3(y + 3) - 4

Option D.

Step-by-step explanation:

From the given graph it is clear that it is a parabola along to the x-axis.

Vertex form of a parabola along the x-axis is

where, (h,k) is vertex.

From the graph it is clear that the vertex of the parabola is (4,-3). So, substitute h=4 and k=-3 in the above equation.

  ...(1)

The graph passing through (1,-2), so substitute x=1 and y=-2 in the above equation.

Substitute a=-3 in equation (1).

Therefore, the correct option is D.

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step-by-step explanation: