5Matching ActivityYou will be given a word, or a property of the parabola shownYou are responsible for finding the person with the paper that is the match to yoursSit with your partner when you found them
8Graph to Equation h = 1, k = -2 x = 2, y = -1 y = a(x-h)2+k y = (x-1) 2-2Space for work shown to studentsCalculate a with point (x,y) and vertex (h,k)substitute back in for a, h, k
9Parabolas in our Lives Top edge of a spoon Motion of a swing Face shapeRoller coasterArrow projectoryA bowArch of a bridgeHorseshoeTop of a mushroomShoe front
10Practical 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.
11Practical 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 pointMaximum height y coordinate (k)Seconds after fired x coordinate (h)k = 127h = 5
12Practical 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=0h = -5(0-5)h = -5(-5)h = -5(25)+127h =h = 2 m
13TOC State the vertex and axis of symmetry for the following equation: y = (x+2)2 + 4HomeworkHandoutPg. 185, Q # 6, 8, 13