The document discusses parabolas, which are sets of points equidistant from a fixed point called the focus and a line called the directrix. It defines the standard and generic forms of parabolas and lists the key properties of parabolas, including the vertex, focus, and directrix. Examples are provided to find the standard equation of a parabola and identify the vertex, focus, and directrix of various parabolas. An assignment with practice problems concludes the document.

1. 10.2 Parabolas
Objective: Write equations and find the focus,
directrix, and vertex of parabolas.
Standard: Math Analysis 5.0

2. What is a Parabola?
The set of all points equidistant from a ___________
and a __________.
Standard Form:
Generic Form:

3. What we already know:
vertex:
Up/Down:
Wide/Narrow:
Additionally:
Focus:
Directrix:

4. Ex. 1) Find the standard equation of the parabola with a
vertex of (3, 2) and a focus of (1, 2).

5. Ex. 2) Find the vertex, focus, and directrix of the
parabola.

6. Ex. 3) Find the focus, directrix, and vertex of the
parabola. Then sketch the graph.

7. Ex. 4)

8. Ex. 6)

9. Assignment:
#26 p. 740
#13-19 (odd), 25, 27,
32, 47, 66, 67