Someone please explain how I would do this?

Write an equation of an ellipse in standard form with the center at the origin and with the given characteristics.

vertex at (–3, 0) and co-vertex at (0, 2)

Question

Someone please explain how I would do this?

Write an equation of an ellipse in standard form with the center at the origin and with the given characteristics. 

vertex at (–3, 0) and co-vertex at (0, 2)

phi · Answer

See http://www.mathwarehouse.com/ellipse/equation-of-ellipse.php it shows what the vertex and the co-vertex are. They will define the semi-major and semi-minor axes (a and b in the equation of an ellipse)

anonymous · Answer

Thanks, I think I understand it... would this be the correct answer for the problem I posted above?

phi · Answer

yes

phi · Answer

one way to check,  is plug in (-3,0) and see if the equation works

anonymous · Answer

Thanks!

phi · Answer

and try (0,2)

phi · Answer

for example,  with x=0  and y=2
0^2/9  + 2^2/4  = ? 1
0 + 4/4 = ? 1
1= 1 yes, it works