Question

Write the equation of an ellipse centered at the origin with foci at (0, -3) and (0, 3) and a major axis of 10.

Answer 1

you know what this looks like?

Answer 2

looks like what ?

Answer 3

the ellipse
do you know what it looks like?

Answer 4

is it this one ?

Answer 5

yes, that is the equation

Answer 6

but what i meant is to do you know what the picture looks like

Answer 7

nope?

Answer 8

you need to know that it looks like this so you can see that the \(y^2\) term has the larger number under it
in fact since the major axis has length \(10\) we know that the number under the \(y^2\) term is \(5^2=25\)