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

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aruv | High School Teacher | (Level 2) Valedictorian

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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)