Parabola with Directrix, Focus, Axis of Symmetry , Latus Rectum

This activity will help you create your own parabola using the given equation and then identify its vertex, focus, axis of symmetry and endpoints of latus rectum.

1. Graph of a parabola in the form of (y-k) = 4c(x-h)^2[br]2. Identify the focus, axis of symmetry, equation of directrix, and endpoints of latus rectum.

1. What is the relationship of the value of c to its Focus to Vertex and Vertex to directrix?

a. value of c is equidistant from Focus to Vertex and Vertex to Directrix[br] c. value of c is always positive. b. value of c is always constant.

2. Where does h translate?

b. x - axis c. origin a. y - axis

3. What should be the coordinates for the endpoints of the latus rectum?

c, ( p, 0 ) and ( -p, 0 ) b. ( 2p, p) and ( -2p, p ) a. (p, - 2p) and (p, 2p)

Please see attached file as reference for the lesson.

Watch the video to learn more about parabola.

Information: Parabola with Directrix, Focus, Axis of Symmetry , Latus Rectum