The vertices of a rectangle ABCD are A(-1,1), B(1,1), C(1, 4) and D(-1, 4) . The vertices of its image under transformation T are
A'(1,1), B'(3,1), C'(9, 4) and D'(7, 4) .
a) (i) Draw on the grid provided rectangle ABCD and its image A'B'C'D' under the transformation T . (2marks)
(ii) Describe fully the transformation T . (3 marks)
(iii)Determine the matrix of transformation T (2marks)
b) On the same grid as in (a), draw rectangle A''B''C''D'' the image of rectangle ABCD under a stretch with line y = 1 invariant and stretch factor 2. State the coordinates of A''B''C''D'' (3 marks)
