I REALLY NEED HELP ;-;

The vertex of this parabola is at (-1,-3). which of the following could be its equation?

a. x= -2(y+3)^2-1
b. x= -2(y-1)^2-3
c. x= -2(y-3)^2-1
d. x= -2(y+1)^2-3

Respuesta :

Note how all four answer choices begin with "x=-2(." This tells us that we have the graph of a horizontal parabola that opens to the left, because of the "-" symbol.

Given that the vertex is located at (-1,-3), we know that the (y-c) term must be (y-[-3]), or (y+3). Thus,we can immediately eliminate answer choices b and d

The only answer choice that fits this situation is (a): x = -2(y+3) - 1.