Question

Which of the following shows an equation of an ellipse?

Answer 1

can you attach the file as a pdf or png?
I cannot read it.

Answer 2

it wont let me

Answer 3

A.) -6x^2+5y^2-8y=1

Answer 4

B.) -6x^2=15y^2+3x-1

Answer 5

C.) x^2-y^2=-8y+13

Answer 6

D.)3x+5y=13

Answer 7

there you go :)

Answer 8

Can you rule any of these equations out?

Answer 9

no i dont know how to do it

Answer 10

The (simplest) equation of an ellipse is
\[ \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1\]
You always have an x^2 term PLUS y^2 term on the same side of the equation

Answer 11

ok?

Answer 12

So, does D have x^2 or y^2 in it?

Answer 13

no

Answer 14

so D is not it.
Now look for x^2 + y^2 (ignore the numbers)
Example:
C.) x^2-y^2=-8y+13
both x^2 and y^2 are on the same side of the = sign. But they are being subtracted. So this one is out also.

Answer 15

ok

Answer 16

so you are down to A or B

Answer 17

is it A?

Answer 18

are the x^2 and y^2 terms being added?

Answer 19

yes

Answer 20

A.) -6x^2+5y^2-8y=1

I see a minus sign in front of the x^2 term and a + sign in front of the y^2 term

Answer 21

there being added though

Answer 22

Yes, but an ellipse has the form x^2+y^2
when you have x^2- y^2 or vice versa, it is a hyperbola.

Answer 23

ok

Answer 24

so its B?

Answer 25

yes
see

http://www.wolframalpha.com/input/?i=-6x%5E2%3D15y%5E2%2B3x-1