Vertical Translation

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.