Write the equation of the hyperbola.

Question

abbles · Answer

Vertices: (0, -1), (0, 1)
Asymptotes: y = 1/3x, y = -1/3x

agent0smith · Answer

Graph everything.

abbles · Answer

I did, but that's where I'm stuck... there isn't much information to go on.

abbles · Answer

a = 1
But I don't know b or c

agent0smith · Answer

You can use the slope of the line, along with the vertex, to figure out a and b (doesn't matter which is which, as long as the "rise" goes under y^2 and "run" goes under x^2)

phi · Answer

the first example is your problem http://www.mathwarehouse.com/hyperbola/graph-equation-of-a-hyperbola.php

abbles · Answer

How do I use the slope of the line to figure out a and b?

agent0smith · Answer

Because the slope of the line is equal to b over a (assuming b is under y^2)

And you know one of a or b, from the vertex

phi · Answer

y = a/b x  is the formula for the asymptote
in your case,
y = ⅓ x
I would choose the simplest  a and b so that a/b = ⅓

phi · Answer

btw,  "a" is the y value of the vertex

abbles · Answer

If a = 1 and ab=1/3 then b = 1/3?

phi · Answer

a/b = ⅓  
a = 1
1/b = ⅓
what is b ?

acespeedfighter · Answer

2