Question

an ellipse has a vertex at (0,-5), a co-vertex at (-3,0), and a center at the origin. which is the equation of the ellipse in standard form?

Answer 1

`(x^(2) )/(9) +(y^(2) )/(25) =1`

Explanation:

a vertex at (0,-5), a co-vertex at (-3,0): major axis parallel to y axis

`(x^(2) )/(b^(2) ) +(y^(2))/(a^(2) ) =1\\(x^(2) )/((-3)^(2) ) +(y^(2))/((-5)^(2) ) =1\\\\(x^(2) )/(9 ) +(y^(2))/(25 ) =1\\`