Question 545452: If the Vertex is (0,-7) and the focus is (0,3 Square root of 5) then what is the equation?
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! If the Vertex is (0,-7) and the focus is (0,3 Square root of 5) then what is the equation?
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Given equation is that of a parabola that opens upwards. Standard form: (x-h)^2=4p(y-h), (h,k) being the (x,y) coordinates of the vertex.
vertex:(0,-7)
axis of symmetry: x=0 or y-axis
p=distance from vertex to focus on the axis of symmetry=7+3√5≈13.708
4p≈54.83
Equation:
x^2=54.83(y+7)
or
y=(1/54.83)x^2+7
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