Determine the cubic function obtained from the parent function y = g after each sequence of transformations
a reflection across the x-axis; a translation 1 unit up; and a translation 2 units right
The parent function is y = g(x).
First, we have a reflection across the x-axis. This transforms the graph to y = -g(x).
Next, we have a translation 1 unit up. This transforms the graph to y = -g(x) + 1.
Finally, we have a translation 2 units right. This transforms the graph to y = -g(x-2) + 1.
Therefore, the resulting cubic function is y = -g(x-2) + 1.