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

Author:: Thelma Ilas, dandersod

Topic:: Parabola, Symmetry

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?

Tick all that apply

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.

Check my answer (3)

2. Where does h translate?

Tick all that apply

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

Check my answer (3)

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

Tick all that apply

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

Check my answer (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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