Question

find the equation of hyperbola. conjugate axis on the x-axis, one focus at (0, √13), equation of one directrix y= 9√13 / 13. HELP PLEASE!!!!!!! the answer is 4y^2 - 9x^2 = 36... it was stated on the book

Answer 1

Sure, do you have any idea on how to start or what the equation of a hyperbola looks like in general?

Answer 2

(x/a)^2 - (y/b)^2 = 1

Answer 3

nah. no idea.. sorry

Answer 4

Yes that's right!

Answer 5

the equation is correct! (:

Answer 6

Now, we need to use the given information to deduce what a and b are.

Answer 7

okay okay.. :)

Answer 8

We have one of the focus, so we can graph this, usually not necessary though, to see in which direction the hyperbola opens up.

Answer 9

sqrt(13)= 3.605

Answer 10

So could you graph the point (0, sqrt(13))?

Answer 11

okay okay.. :)

Answer 12

??