An ellipse has its center at the origin, its foci on the y-axis, and its major axis is three times as long as its minor axis. Given that the ellipse passes through the point (-4,0), find its equation.
Express your answer in the form (x-a)^2/r^2 + (y-b)^2/s^2 = 1.
Thank you !!
+128408 Since the ellipse is centered at the origin and its foci are on the y axis and it passes through the point (-4,0), then the minor axis must be 8 units long and the major axis must be 24 units long
So.....b = 8/2 = 4
And a = 12/2 = 6
So.....the equation of the ellipse is
x^2 y^2
___ + _____ = 1
4^2 6^2
x^2 y^2
___ + ____ = 1
16 36
Here's a graph : https://www.desmos.com/calculator/qdv0dposwj
