Let f(x)=|x|. Write a function g whose graph is a reflection in the x-axis followed by a translation 4 units to the left of the graph of f.

Question

I would like to understand how to be able to get the answer to this question by seeing the steps that go into answering it.

Answer 1

Reflection of f(x) = lxl in the x-axis gives us y = -lxl.

Translation of 4 units to the left yields y = -lx + 4l

g(x) = -lx + 4l