## An equation of a parabola with its vertex at (-3,2) and focus at (-3,-1) written in general equation form

Question

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## Answers ( No )

we have that

standard form of equation for parabola:

(x-h)^2=-4p(y-k)

(h,k) ———>being the (x,y) coordinates of the vertex.

Parabola opens downwards because focus is below vertex on the axis of symmetry.

For given problem:

vertex: (-3,2)

axis of symmetry: x=-3

p=distance from vertex to focus on the axis of symmetry=2-(-1)=3

4p=12

Directrix: y=2+p=5

Equation:

(x+3)^2=-12(y-2)

the answer is(x+3)^2=-12(y-2)