Question

Hey! Could someone help me with a question about hypebola's?

Answer 1

\[\frac{ y ^{2} }{ a ^{2} }-\frac{ x ^{2} }{ b ^{2} }=1\] would assist you in drawing four corners of a box whose diagonals would define the hyperbola. The top and bottom of the box would be "a" units from the origin and the sides of the box would be "b" units from the origin. In your case the box will also be shifted horizontally and vertically by the amounts added and subtracted to the y and x in the numerators.

Answer 2

The diagonals are the asymptotes

Answer 3

Yikes I'm dumb. I forgot to ask the main question, how do I find the length transverse axis of that hyperbola?

Answer 4

I've already found the asymptotes, but I'm unsure of how to find the transverse axis..

Answer 5

The transverse axis is a line parallel to the y-axis and going through the point <-1,2>, which is the center of the hyperbola: http://en.wikipedia.org/wiki/Hyperbola