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 function S shows 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, 0)/<-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, point o, then a reflection across the x-axis
• reflection across the y-axis, then a translation a units to the right and b units up
• translation a units to the right and b units up, then a rotation of 180 degrees counterclockwise about the origin, then a reflection
across the y-axis