Question 590889: wrirte and equation for the following conic. If it is a parabola, it has a vertex at the orgin, and if it is an ellipse or a hyperbola, it is centered at the orgin. Focus at (0,5) and e=1
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! wrirte and equation for the following conic. If it is a parabola, it has a vertex at the orgin, and if it is an ellipse or a hyperbola, it is centered at the orgin. Focus at (0,5) and e=1
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In accordance with the focus-directrix property of conics,
if e=1, the conic is a parabola:
Standard form of equation for parabola opening upwards: (x-h)^2=4p(y-k), (h,k)=(x,y) coordinates of the vertex.
vertex:(0,0) (given)
axis of symmetry: y-axis or x=0
p=5 (distance from focus to vertex on the axis of symmetry)
4p=20
Equation of parabola:
x^2=20y
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