Part C

In the same way that other functions can be combined, a series of transformations can be combined into a single function.For example, this statement for the functionSshows one way to represent the rotation of a point 270 counterclockwise about the origin followed by a translation 3 units to the left and 1 unit up:S(270, O)/<-3,1>(x, y) = (y - 3, -x + 1).

Write a function to represent each series of transformations:

• rotation of 90 degrees counterclockwise about the origin, pointO, then a reflection across thex-axis
• reflection across they-axis, then a translationaunits to the right andbunits up
• translationaunits to the right andbunits up, then a rotation of 180 degrees counterclockwise about the origin, then a reflection across they-axis