Chapter 22

# Topping Off Trig Graphs

In This Chapter

Identifying the graph from the trig equation

Combining functions to fit real-life applications

Comparing graphs to everyday scenarios

The graphs of the trigonometric functions can take on many variations in their shapes and sizes. As wonderful as these graphs are just by themselves, they're even better and more useful when you adjust them to fit a particular situation. In Chapters 19, 20, and 21, I show you how to make the trig functions slide about by moving them up, down, left, and right. I also show you how to make them steeper and flatter. In this chapter, I complete the trig story with additional transformations, as well as the even-more-exciting possibilities that occur when you combine graphs. I start off with a basic template for a trig function and progress from that point.

## The Basics of Trig Equations

You can identify all the different transformations that you can perform on a trig function from a certain form of the function's equation. First, check out the general equation and then consider some examples of what the specific equations may look like.

The general form for a trig equation is , where

• f represents the ...

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