Hi in this Question, f and g are both affine transformations. The transormation f is reflection in the line y = -x-3, and the transformation g maps the points (0,0) (1,0) and (0,1) to the points (1,5) (0,5) and (1,6) respectively.

a. Determine g (in the form g(x) = A x + a where A is 2 x 2 matrix and a is vector with two components.

b. By first traslating and appropriate point to the origin, find f (in the same form as found g in part a.

c. find images of the points (3,1) (3,-1) and (4,-1) under f.

d. find images of same points under the composite transformation g of f