# Vertical Translation

- Author:
- Guillermo Bautista

Shown below is the graph of the function

**f(x) = sin(x).**Graph the functions**g(x) = sin(x) + 3**and**h(x) = sin(x) - 4**by typing their equations in the Input bar.## Questions to think about

1.) What are your observations about the graphs of

*f*,*g*, and*h*? 2.) How does adding a number to the output of a function affect its graph? 3.) How does subtracting a number from the output of a function affect its graph? 4.) What conjectures can you make based on your answers above?## TIP

Since

**f(x) = sin(x)**, another way to graph**g(x) = sin(x) + 3**is to type**g(x) = f(x) + 3**.