Problema Solution

focus at (-square root of 13,0), vertex at (o,2).solve for the equation of an ellipse.

Answer provided by our tutors

We assume the equation of an ellipse is x^2/(a^2) + y^2/(b^2) = 1

c = square root of 13, so c^2 = 13

vertex at (o,2), so b^2 = 2^2 = 4

So a^2 = b^2 + c^2 = 4 + 13 = 17

So

the equation of an ellipse is x^2/17 + y^2/4 = 1