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It took me some time to understand,but i understood it,thank you.
hi Ronald, and I would like to have X and Y as the subject of these two equations. adding gives and subtracting gives Compare this with the transformation I gave in post 2. I seem to have answered your original question. So using the new coordinate system the equation of the hyperbola becomes It's the same shape; just described using the new axes. Bob
How do you transform a graph 45 degrees?
hi Ronald, http://www.mathsisfun.com/geometry/hyperbola.html y = 1/x is a hyperbola but it doesn't have that format so I cannot give you values for a and b. The standard format has the x and y axes as the lines of symmetry. If you rotate the shape 45 degrees you get the format http://www.mathsisfun.com/sets/functionreciprocal.html If you want more details of the transformation I could probably work it out (it was a long time ago when I last met this). I've just read this through to check for mistakes and it's all come back to me. So transform using and you get Bob
Is x^1=y a hyperbola's equation? If so what is the a and b in that case? 