SOLUTION: A parabola has a Vertex (1,4) and directrix Y=5 1/4. Find the equation in standard form

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Question 965706: A parabola has a Vertex (1,4) and directrix Y=5 1/4. Find the equation in standard form
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
A parabola has a Vertex (1,4) and directrix Y=5 1/4. Find the equation in standard form.
parabola opens downward:
Its basic form of equation: (x-h)^2=-4p(y-k), (h,k)=coordinates of vertex
given vertex:(1, 4)
axis of symmetry: x=1
p=1 1/4=5/4 (distance from vertex to directrix on the axis of symmetry)
4p=5
equation: (x-1)^2=-5(y-4)

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