Question

Let Ti, T R2R be the following transformations ·T, is rotation by 45 degrees clockwise around 0. . T2(x) is obtained by stretching the axis by a factor of 3, and leaving the y axis unchan Describe how to perform the following transformations using T and T2 (e.g. in terms of T oT2, or inverses, or other such things) (a) Rotate by 45 degrees clockwise, then stretch the r-axis by a factor of 3 (and leave y unchanged) (b) Stretch the r-axis by a factor of 3, then rotate by -90 degrees, i.e. counterclockwise. (e) Stretch the y-axis by a factor of 3. Hint: Do this in 5 steps (d) The inverse of (a). And: describe the transformation in words

Answer 1

2 !红 2 3 o 1.e. 2

2. 3 o 3 0 verse 23V 2 312 .

d) Description of the transformation :

Stretch the y-axis by a factor 3, then rotate by 45 degrees counterclockwise.