# Parabola Given a focus and directrix

- Author:
- dbell07

- Topic:
- Parabola

Use this applet to verify your answers on the worksheet given. You will need to move the slider for the directrix and move point F for the forcus or type F=(x,y) in the input bar, with x and y be the coordinated you want to use.

Day 2: Parabola Worksheet
Remember you can type the focus in the input bar like you did the vertex.
1. How can you find the vertex of the parabola given the focus and directrix?
2. What can you say about the distance between the parabola and the focus or directrix at the vertex?
3. How does a related to the focus and directrix?
Write an equation for each parabola described below. (Vertex Form).
Use the following applet to verify your answers. http://www.geogebratube.org/material/show/id/11395
4. focus at (0, –2) and directrix x = 2.
5. focus (3,5) and directrix x=1
6. focus (5,-1) and directrix x=3
7. focus (4,-4) and directrix x=-6
8. focus (-3, 3 3/4) and directrix x= 4
9. vertex (-1, 5) and focus (3, 5).
10. vertex (-1.5, –2) and directrix x = –5.
11. How would our formula for finding the equation change if the directrix was y=n?
You can graph it or use GeoGebra to create this parabola, try a couple of different ones and make a conjecture.
12. Compare your conjecture with at least two other people in the class and see if agree with them. Document their conjecture and if you need to make adjustments to your conjecture note them below.
Use the following applet to find the parabola: http://www.geogebratube.org/student/m8838
The goal of "Angry Birds" is to slingshot an arsenal of birds in a parabolic curve to destroy egg-stealing pigs.
Can you construct the parabolas necessary to hit all the pigs?