The graphs of two functions, f(x) and g(x), where g(x) = f(x) + h, are shown.

Based on the graph, what is the value of h?

**f(x) and g(x) are y values.**

When a value, such as h, is added to f(x) {the y-value), it creates a vertical shift of the graph h units.

If you look closely, you will see for the same values of x, in f(x) and g(x), a vertical shift up 5 units has taken place.

Therefore,

**the value of h is 5**.

g(x) = f(x) + 5 {the graph of f(x) is shifted up 5 units to create the graph of g(x)}

__Ask Algebra House__