Given the equation (x+4)^2 = -12y + 24 determine: a)  The Vertex b)  If the parabola opens up, down, left, right c)  The Focus

1 Answer | Add Yours

aruv's profile pic

aruv | High School Teacher | (Level 2) Valedictorian

Posted on

Equation of the parabola is


Parabola is defined if `y<=2`

1. Vertex of the parabola


x=-4 and



Thus vertex is (-4,2)

2 Since parabola is defined only if `y<=2`

This shows parabola open down.

3. Focus of the parabola


X=x+4  and  Y=y-2


`Thus ` focus of the transformed parabola is (0,-3)

Thus focus of orinal parabola is  (-4,2-3)=(-4,-1)

We’ve answered 317,896 questions. We can answer yours, too.

Ask a question