Question

Describe each transformation from f(x)
(red) to g(x) (green) in terms of x.

Answer 1

Answer: Reflection over the y axis

A point like (2,0) that is on the red curve goes to (-2,0) on the green curve. The rule used is $(x,y) \to (-x,y)$ which describes a reflection over the y axis. The other points use this rule as well.

In other words, every x becomes -x. Whatever the sign is for x, we swap it from positive to negative or vice versa. This means g(x) = f(-x).