Triangle ABC goes through a series of three transformations, resulting in triangle A'B'C'. The three transformations are listed below.
• a rotation 180° clockwise about the origin
• a reflection over the x axis
• a reflection over the y axis
Triangle ABC has vertex A located at (2,-3). Using the coordinates of this point, explain how the three
transformations map vertex A onto vertex. A'.
Explain your answer.

Consider the following function f(x) %3 (х — 3)3 (a) find the intervals where the function fis increasing and where is decreasing. (enter your answers using interval notation. an answer cannot be expressed as an interval, enter empty or .) increasing decreasing (b) find the relative extrema of f. (if an answer does not exist, enter dne.) relative maximum (х, у) - (х, у) %3d relative minimum (c) find the intervals where the graph of f is concave upward and where it is concave downward. (enter your answers using interval notation. if an answen cannot be expressed as an interval, enter empty or .) concave upward concave downward (d) find the inflection points, if any, of f. (if an answer does not exist, enter dne.) (х, у) —