Question

What is the equation of g in terms of f?

Answer 1

Notice that the graph of g(x) is the graph of f(x) reflected about the origin.

Recall that the graph of a function h(x) reflected about the origin corresponds to the function:

`-h(-x)\text{.}`

Therefore:

`g(x)=-f(-x)\text{.}`

Answer:

`g(x)=-f(-x)\text{.}`