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A 2D geometric shape is rotated about a point with coordinates (1,2) by 90° in a clockwise direction. Then, the shape is scaled about the same point in the x-coordinate by 2 times and in the y-coordinate by 3 times. Finally, the shape is reflected about the origin. Derive the single combined transformation matrix for these operations.
Answer: The sequence of transformations is as follows.
From right to left the sequence is as follows- (i) Translate so that (1,2) moves to origin (ii) Rotate about the origin by -90° (iii) Scale by (2,3) (iv) Translate back so that (1,2) is at its previous position (v) Flip about the origin. Single combined transformation can be obtained by multiplying all these matrices.
what do you mean by retracing? Define horizontal as well as Vertical retracing?
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