13: Introduction to Conics
- Page ID
- 45083
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By the end of this chapter, the student should be able to
- Apply the distance and midpoint formulas to obtain the distance and midpoint, respectively, between two points
- Obtain the vertex and intercepts to graph a parabola
- Obtain the center and radius/radii to graph circles
- Rewrite nonstandard equations to the standard equations for a circle and parabola
In this chapter, we introduce conics. Even though we discussed parabolas in a previous chapter, we discuss parabolas in more of a geometric sense and use parabolas and circles in a system of equations to solve. Before we begin, let’s start off with an introduction.
- 13.2: Circles
- As we discussed in the previous section, we see a circle is simply a cut from a right circular cone. Let’s discuss the properties of the circle and then graph it.