## anonymous one year ago Which is the Equation shown by the graph?

1. anonymous

2. Nnesha

do you know the standard form of ellipse ?

3. anonymous

no

4. Nnesha

$\huge\rm \frac{ (x-h)^2 }{ a^2 } +\frac{ (y-k)^2 }{ b^2 }$ standard form of ellipse if a is under the x then it would be horizontal and if a is under y then graph would be vertical |dw:1439072800559:dw||dw:1439072820181:dw|

5. Nnesha

by just looking at the standard form of the equation you can eliminate 2 answer choices

6. anonymous

so it is vertial

7. Nnesha

yes right

8. anonymous

which two are eliminated then?

9. Nnesha

$\huge\rm \frac{ (x-y)^2 }{ a^2 } - \frac{ (y-k)^2 }{ b^2 }$ this is standard form equation of *hyperbola* only difference is the sign between both fractions

10. Nnesha

and sorry i forgot to tell a=always bigger than b

11. anonymous

im still confused on what the answer is though

12. Nnesha

13. anonymous

...no..

14. anonymous

idk what a stands for

15. Nnesha

do you know the difference between ellipse and hyperbola graph ?

16. anonymous

no

17. Nnesha

a represents bigger number

18. Nnesha

do you know anything about ellipse equations ?

19. anonymous

nope

20. Nnesha

surprising

21. anonymous

...why

22. Nnesha

bec you don't know the introduction of conic section which supposed to be ur h.w

23. Nnesha

|dw:1439073497169:dw|$\huge\rm \frac{ (x-y)^2 }{ a^2 } - \frac{ (y-k)^2 }{ b^2 }$ this is standard form equation of *hyperbola* that's how the graph looks like

24. anonymous

I just asked for help, if you aren't going to help please don't waste my time I just wanted to learn how, not be insulted with sarcasm thank you.

25. Nnesha

and here is graph of ellipse equation |dw:1439073570566:dw|$\huge\rm \frac{ (x-y)^2 }{ a^2 } \color{reD}{+} \frac{ (y-k)^2 }{ b^2 }$

26. Nnesha

i'm not insulting you sorry if you take it that way.

27. Nnesha

so now can you find the difference between both equations ?

28. Nnesha

and sorry i asked few questions so i can get an idea where to start sorry if u mind..

29. anonymous

i got x^2/4+y^2/16=1

30. Nnesha

hm given graph of ellipse is vertical right ?

31. anonymous

yeah

32. Nnesha

yes right so bigger number should be under the y value and there is plus sign so that's right!

33. anonymous

thank you for your help

34. Nnesha

my pleasure. B and D can't be the answer bec those 2 are hyperbola equations