equation for ellipse

write the standard equation for ellipse that has vertices at (0,-5) and (0,5) and crosses x-axis at (-4,0) and (4,0)
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The vertices mark the extent of the semi-minor axis b, and the x intercepts mark the extent of the semi-major axis a. Since the average of the vertices and intercepts are both zero, the ellipse has (0,0) as its centre. The equation is:

x^2/4^2+y^2/5^2=1 where the semi-major axis is length 4 and the semi-minor axis 5. x^2/16+y^2/25=1 or 25x^2+16y^2=400.

by Top Rated User (1.1m points)

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