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)

Answer 1

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)

Answer 2

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

Answer 3

yes

Answer 4

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

Answer 5

Thanks!

Answer 6

and try (0,2)

Answer 7

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