Chapter 23

Other Graphing Topics

Not all graphing involves lines, although lines play an important role in graphs (as either axes or asymptotes or reflection structures). You can quickly graph circles if you know the center and radius. A parabola has a unique U or cup shape. And once you have the basic shape of a particular graph, you can quickly create variations on that graph by using a few transformational rules.

The Problems You'll Work On

Here are the graphing techniques you'll use in this chapter:

  • Finding the intersection of two lines by graphing
  • Graphing circles
  • Graphing parabolas
  • Using transformations in graphing

What to Watch Out For

Keeping all the graphing rules and tips in mind can be tricky; here are a few things to specifically watch out for in this chapter:

  • Checking the discovered point of intersection of two lines by substituting the point into the equations of the lines
  • Remembering to compute the square root of the constant in the equation of a circle when using the radius in the graph
  • Watching the direction of the parabola based on the sign of the lead coefficient
  • Remembering that translations to the left and right are the opposite of the sign in the equation

Graphing to Find the Intersection of Two Lines

966−973 Find the intersection of the lines by graphing.

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Sketching the Graph of a Circle

974−979 Sketch ...

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