Question

Graph the equation. Identify the vertices, foci, and asymptotes of the hyperbola.

Answer 1

@ganeshie8

Answer 2

@wio

Answer 3

can you attempt?

Answer 4

yes i did but i need help with the set up of the foci

Answer 5

would it be 9+36

Answer 6

http://kellhighschool.typepad.com/files/conic.pdf

Answer 7

This is a horizontal hyperbola (that is, the transverse axis is horizontal) because the x^2 term has the positive coefficient and the y^2 term has the negative coefficient.
Compare the given equation to the table. Identify the center of the hyperbola (h, k). Identify a, b, calculate c. Then you can find all the other things they are asking such as vertex, foci, asymptotes. etc. and then you can graph it.