SOLUTION: Can someone help me? Thank you. I need to make it clear about the hyperbola. X^2-y^2=1 is transformed T(x,y)=(ax+h, by+k). How do I write the equation after transformation?

Question 1101988: Can someone help me? Thank you.
I need to make it clear about the hyperbola. X^2-y^2=1 is transformed T(x,y)=(ax+h, by+k). How do I write the equation after transformation?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!

start with T(x,y) = x^2 - y^2

when T(x,y) = 1, then the equation becomes x^2 - y^2 = 1

when you want T(ax+h,by+k), then you simply replace x with ax+h and y with by+k and you get:

T(ax+h,by+k) = (ax+h)^2 - (by+k)^2

when T(ax+h,by+k) is equal to 1, then the equation becomes (ax+h)^2 - (by+k)^2 = 1

that's what i think your solution will be.

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