Function f(x) undergoes a single transformation to create function g(x). The graphs of both f(x) and g(x) are shown. Create a function rule for g(x) in terms of f(x).

**Remember f(x), g(x), and h(x) all designate the "y-value" or the "output".**

In this situation, each point on the graph of f(x) was shifted up 3 units, to create the graph of g(x).

When a function is shifted up, you are adding to the value of y. {In this case, adding 3 to f(x) created g(x)}

**g(x) = f(x) + 3**

**- Algebra House**