Answer:
Option: A is the correct answer.
[tex]x=-2(y+3)^2-1[/tex]
Step-by-step 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:
[tex]x=-2(y-(-3))^2+(-1)\\\\x=-2(y+3)^2-1[/tex]
Hence, the equation of the parabola is:
[tex]x=-2(y+3)^2-1[/tex]
