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Question 524276: Write an equation for a parabola in which the set of all points in the plane are equidistant from the focus and line F(0,8);y=-8
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Write an equation for a parabola in which the set of all points in the plane are equidistant from the focus and line F(0,8);y=-8
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Given problem is the definition of a parabola which opens upwards with a directrix of y=-8 and a focus of (0,8). Its equation is of the standard form: (x-h)^2=4p(y-k), (h,k) being the (x,y) coordinates of the vertex, p=distance from vertex to focus or directrix on the axis of symmetry
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For given problem:
Vertex:(0,0)
p=8
Equation: x^2=32y
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