Question

What is an equation in standard form of an ellipse centered at the origin with vertex (-6,0) and co-vertex (0,4)

Answer 1

`(x^(2) )/(36)` +
`( y^(2))/(16)` = 1

This is because the standard form of an ellipse is


`( x^(2) )/( a^(2) )` +
`( y^(2) )/( b^(2) )` = 1

where a is the vertex and b is the co-vertex. So when we stick their respective x and y values in and then square them, you're left with the answer above.