Question

What is the equation of the following graph?
Answers:
x2/25 + y2/9 = 1
x2/25 - y2/9 = 1
x2/9 - y2/25 = 1
x2/9 + y2/25 = 1

Answer 1

the general formula is:
\[\frac{x ^2}{a^2} + \frac{y^2}{b^2} = 1\]
where a is always greater than b, so if the term under y is larger then the y term comes first and the ellipse is elongated along the y-axis. If the term under x is larger then its elongated along the x-axis... let me know if you need more...

Answer 2

Yea I understand that I just need help solving

Answer 3

if you look at the graph you posted what are the farthest points to the left and right on the x-axis and the farthest points up and down on the y-axis?

Answer 4

I don't know @CCollet

Answer 5

3 and -3

Answer 6

that's the y-axis and the x-axis is 5 and -5

Answer 7

so if you take the square root of each denominator of your first answer what do you get?

Answer 8

the first answer you have to choose from.

Answer 9

I believe it is A

Answer 10

?

Answer 11

it is, but do you understand it?

Answer 12

yes I got it now I solved it on paper

Answer 13

cool :)