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Question 502801: if you are given a parabola and the focal diameter is 12, how do you find what the focus is?
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! if you are given a parabola and the focal diameter is 12, how do you find what the focus is?
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Assuming standard form of equation: (x-h)^2=4p(y-k), (h,k) being the (x,y) coordinates of the vertex.
Focal diameter also known as the focal width=4p
The focus is p units from the vertex on the axis of symmetry on the inside of the parabola.
The directrix is also p units from the vertex on the axis of symmetry but on the outside of the parabola.
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