1. Graphing Parabolas
MPM 2D1

2. Agenda Warm up Properties of Parabolas Parabolas in our Lives
Practical Applications
TOC

3. Warm up Class Website http://mcgregormpm2d1.wikispaces.com/
Untie the knot

4. Properties of Parabolas

5. Matching Activity
You will be given a word, or a property of the parabola shown
You are responsible for finding the person with the paper that is the match to yours
Sit with your partner when you found them

6. Matching Activity
a = 1
(0, 0.64)
(-2, -7)

7. Graph to Equation
(2, -1)
(1, -2)

8. Graph to Equation h = 1, k = -2 x = 2, y = -1 y = a(x-h)2+k
y = (x-1) 2-2
Space for work shown to students
Calculate a with point (x,y) and vertex (h,k)
substitute back in for a, h, k

9. Parabolas in our Lives Top edge of a spoon Motion of a swing
Face shape
Roller coaster
Arrow projectory
A bow
Arch of a bridge
Horseshoe
Top of a mushroom
Shoe front

10. Practical Applications
The flight path of a firework is modelled by the relation h = -5(t-5) , where h is the height, in metres, of the firework above the ground and t is the time, in seconds, since the firework was fired.

11. Practical Applications
A) what is the maximum height reached by the firework? How many seconds after it was fired does the firework reach this height?
Looking for the vertex point
Maximum height  y coordinate (k)
Seconds after fired  x coordinate (h)
k = 127
h = 5

12. Practical Applications
B) How high was the firework above the ground when it was fired?
Looking for the y-intercept (firework was fired at t=0)
Sub in t=0
h = -5(0-5)
h = -5(-5)
h = -5(25)+127
h =
h = 2 m

13. TOC State the vertex and axis of symmetry for the following equation:
y = (x+2)2 + 4
Homework
Handout
Pg. 185, Q # 6, 8, 13