• 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.

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When you drag the horizontal slider, both the equation and the graph change.

The graph moves horizontally.

How does the equation change?

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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?