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 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?

Wähle alle richtigen Antworten aus

A
a. value of c is equidistant from Focus to Vertex and Vertex to Directrix
B
b. value of c is always constant.
C
c. value of c is always positive.

Antwort überprüfen (3)

2. Where does h translate?

Wähle alle richtigen Antworten aus

A
a. y - axis
B
b. x - axis
C
c. origin

Antwort überprüfen (3)

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

Wähle alle richtigen Antworten aus

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

Antwort überprüfen (3)

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.

Please see attached file as reference for the lesson.

Watch the video to learn more about parabola.

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