• On this screen, you will explore the graphs of five types of functions. The blue labels at the bottom of the figure list the types:

• absolute value functions;
• linear functions
• quadratic polynomials (degree 2)
• cubic polynomials (degree 3)
• degree 4 polynomials (these used to be called 'quartic' , but that word isn't used much anymore).

• Click on any blue label to graph a basic example of that function type. Then drag the sliders at the top right to vary the example.

• When you drag the horizontal slider, both the equation and the graph change.
The graph moves horizontally.
How does the equation change?

• When you drag the vertical slider, the graph moves up or down, or gets squashed in the vertical direction.
In each case, how does the equation change?