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For Marty, Q/ f and g...

For Marty,

Q/ f and g are both affine transformations. The transformation f is reflection in the line y=2 and transformation g maps the points (0,0), (1,0) and (0,1) to the points (1,1), (2,2) and (3,-1) respectively.

a i) Determine g (in the form g(x) = Ax + a, where A is 2 x 2 matrix and a is a vector with two components and a ii) express f as a composite of three transformations: a translation followed by reflection in the line through the origin, followed by translation. Hence determine f (in the same form as you found in in g part i)

Once again fully working out steps must be shown.

Thank you

B

Q/ f and g are both affine transformations. The transformation f is reflection in the line y=2 and transformation g maps the points (0,0), (1,0) and (0,1) to the points (1,1), (2,2) and (3,-1) respectively.

a i) Determine g (in the form g(x) = Ax + a, where A is 2 x 2 matrix and a is a vector with two components and a ii) express f as a composite of three transformations: a translation followed by reflection in the line through the origin, followed by translation. Hence determine f (in the same form as you found in in g part i)

Once again fully working out steps must be shown.

Thank you

B

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