Question

Find the center, vertices, and foci of the ellipse with equation 2x2 + 9y2 = 18

Answer 1

@hartnn @cwrw238 @Callisto

Answer 2

@amistre64

Answer 3

what does the general equation of an ellipse look lke?

Answer 4

x^2/a^2+y^2/b^2=1

Answer 5

right, but i think i see a simpler way for this one

one way to narrow it down good is to find the vertexes these are the points (x,0) and (0,y)

so can you find me those points?

Answer 6

im confused.

Answer 7

when x=0 this reduces to 9y^2 = 18 ; what does y have to be?

when y=0 this reduces to 2x^2 = 18 ; what does x have to be?

Answer 8

y=2

Answer 9

sqrt 2

Answer 10

y = sqrt(2) yes and there is no option for the verts where y is sqrt2

lets try the x

Answer 11

x=3

Answer 12

good, is there an option for verts at (3,0) and (-3,0)?

Answer 13

yes

Answer 14

then since thats the only one that meets our requirements ... it has to be correct :)

Answer 15

the last option! :) ty

Answer 16

youre welcome

Answer 17

can u help me with one more ? @amistre64