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I know the origin is at (0,0)
my equation should look like: y^2/a^2-x^2/b^2=1

the center appears to already be at 0; otherwise youd have different 'x' parts for the foci

jk it would be
x^2/a^2-y^2/b^2=1

the asymptote tells us what a and b are really; since it is in the form y = (b/a)x

2 b
-- x = --- x
1 a
the y component is b and the x compnent is a

Right and I know I need to find c^2=a^2+b^2
I know C is 3^2 right?

x^2 y^2
--- - --- = 1
1^2 2^2

a is only needed if you are looking to find a or b; we know both a and b from the asympotote

ok but that can't be right....I think we may have a wrong....

x^2 y^2
--- - --- = 1
9 4
I would guess this one but I'm not sure

lets recheck then :)

we need to determine the "rectangle" of the hyperbola; to so that, lets write it as an ellipst

uh.. ok?

correct

right

ok I got it

ok.... ugh this stupid math class their answer key never matches up to what I get lol

our y compnent is 2^2 regardless right :)

ok thanks