Find the equation of the ellipse in standard form

Question

Find the equation of the ellipse in standard form: Center: (0,0); vertices:  (0,+/5):c=3

Answer 1

x^2/a^2 + y^2/b^2 = 1

if a vertex is (0,5) then

a or b = 0 which makes the ellipse undefined as you can't divide by zero

a = semi major axis, b = semi minor axis

c^2 = a^2 - b^2, c = focus