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

Answer with Step-by-step explanation:
The equation with general formula
x-h=4a(y-k)²
has vertex at (h,k)
The equation with vertex at (4,-3) can be written as:
x-4=4a(y+3)²
x=4a(y+3)²+4
Let 4a=-3
x=-3(y+3)²+4
Hence, the equation of parabola with vertex at (4,-3) can be:
x=-3(y+3)²+4
Hence, option A is correct