Maths  Affine transformations
posted by Anonymous .
Can you check my calculations please
g maps points (0,0),(1,0),(0,1) to (6,2),(6,1),(5,2)
So, g(x) = (0 1) .....(6)
..................(1 0)x + (2)
f is a reflection through y=x2
so, f(x) = (0 1) .....(2)
...............(1 0)x + (2)
So; f o g = g(f(x))
= (0 1)(0 1) ...(0 1)(2) .....(6)
...(1 0)(1 0)x + (1 0)(2) + (2)
= (1 0) ....(2) ....(6)
....(0 1)x + (2) + (2)
= (1 0) .....(8)
....(0 1)x + (0)
This is really stretching my brain.
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