Question

@johnweldon1993

Answer 1

Find the center, vertices, and foci of the ellipse with equation

Answer 2

i know the center is (0,0)

Answer 3

Was the picture cut off on the left? or is that information irrelevant?

Answer 4

nope its irrelevant, its what i wrote before it

Answer 5

(0, -25), (0, 25) for the vertices right??

Answer 6

there arnt any vectors here (; @SolomonZelman

Answer 7

No, there are not:)
I can see an ellipse,

\(\Large\color{black}{ \frac{x^2}{225}+\frac{y^2}{625}=1\Huge\color{white}{ \rm │ }}\)

\(\Large\color{black}{ \frac{x^2}{(±15)^2}+\frac{y^2}{(±25)^2}=1\Huge\color{white}{ \rm │ }}\)

Answer 8

so this is definetly the foci

Answer 9

vertices are the x intercepts.
foci are the y intercepts

(in this case they are intercepts, because the center is the origin)

Answer 10

and this is the vertices (0, -25), (0, 25)

Answer 11

wait foci are y? i did them the opposite

Answer 12

no, close... `(25,0)` and `(-25,0)`.

Answer 13

And foci are the `Y`s

Answer 14

Vertices: (-25, 0), (25, 0); Foci: (0, -15), (0, 15) correct?

Answer 15

Yes, and the asymptotes are y=±15/25 = ±3/5