Question

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

Answer 1

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

Answer 2

The answer is A.
I used the formula for finding the vertex of a parabola and I got the first answer choice. So A is correct. :)