Question

Find the vertices and foci of the ellipse.
25x^2 + y^2 = −2y

Not sure how to put this is the correct format

Answer 1

\[\huge\rm \frac{( x+h )^2}{a^2 } + \frac{ (y+k)^2 }{ b^2}=1\]
ellipse equation
so first step) set that equation equal to 1

Answer 2

So I divide it all by 2y?

Answer 3

nope .... 2y is negative at the right side
so add 2y then use completing the square method

Answer 4

I got the smaller vertices points: (0,-2) and (0,0)
But cannot find the foci...

Answer 5

is it horizontal or vertical ??

Answer 6

for vertical \[\huge\rm (h ,k \pm c)\]

Answer 7

a^2 = ?
b^2 = ?
how did you get 26 at the numerator ?

Answer 8

remember ( h,k) is the center of the ellipse
so formula to find foci is \[\huge\rm (h , k \pm c)\]
what is the center ??
that you need to find foci