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 functions 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, 2/6 31>(X)(-3. + 1).
Write a function to represent each series of transformations:
• rotation of 90 degrees counterclockwise about the origin, point, then a reflection across the x-axis
• reflection across the yaxis, then a translation o 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 yaxis