SOLUTION: (x-4)^2=8(y+3) whats its focus, vertex, and directrix?

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Question 981054: (x-4)^2=8(y+3)
whats its focus, vertex, and directrix?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
A derivation for a parabola equation with horizontal axis of symmetry can be shown as 4py=x%5E2. If moved from standard position, the equation is of a form, 4p%28y-k%29=%28x-h%29%5E2 with vertex (h,k). The distance from vertex to either focus or directrix is |p|.

Review the formal descriptive definition of a parabola and associated terminology.


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The vertex for your parabola is (4,-3) and the parabola is concave upward.