help with curve sketching 4u question (1 Viewer)

[greenlemings]

Hi im just a beginner at 4u and im having trouble with curve sketching. Can someone sketch y=(x^2)/ (x^2-1) and then sketch (x^2-4x+4)/(x^2-4x+3)? Also can i have like a detailed working out of it? Its a case of f(x) into f(x-a) but idk what the a is. Thanks everyone.

 

[FrankXie]

yes from the first graph to the second, it is a transformation indeed. by completing the squares, x^2-4x+4=(x-2)^2 and x^2-4x+3=(x-2)^2-1. so if the first function is f(x), then the second is f(x-2). and you just translate the first graph 2 units right.