Identify the equation of the hyperbola with its center at (4, -2), a vertical transverse axis, a = 2, and b = 3.

Question

amorfide · Answer

$$\frac{ (x-h)^{2} }{ a^{2} } - \frac{ (y-k)^{2} }{ b^{2} } = 1$$

where h,k is the centre (h,k) in your case (4,-2)

amorfide · Answer

http://mathworld.wolfram.com/Hyperbola.html check this out

mathmale · Answer

amorfide:  I'd guess that most students who post a question like this one would need some explanation of what "a" and "b" represent.  The Wolfram article, while relevant, is a bit much for a beginner to follow.  Secondly, you could help a lot by drawing the basic graphs of vertical and horiz. hyperbolas.

amorfide · Answer

@mathmale Graphs are not my thing and he had no other help so I thought the equation would be enough
Also, he is given the values for a and b, this was the best help I could give, sorry