Question

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

Answer 1

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Answer 2

Option: A is the correct answer.

`x=-2(y+3)^2-1`

Explanation:

We know that any general equation of a right or left open parabola is given by:

x=a(y-k)^2+h

where if a<0 then the parabola open to the left and if a>0 then the parabola opens right.

Also the vertex of the parabola is: (h,k)

Now here we are given:

Vertex (h,k)=(-1,-3)

Also a= -2 in each of the options.

Hence, we have the equation of parabola as:

`x=-2(y-(-3))^2+(-1)\\\\x=-2(y+3)^2-1`

Hence, the equation of the parabola is:

`x=-2(y+3)^2-1`