Graphing Parabolas MPM 2D1. Agenda Warm up Properties of Parabolas Parabolas in our Lives Practical...
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Transcript of Graphing Parabolas MPM 2D1. Agenda Warm up Properties of Parabolas Parabolas in our Lives Practical...
Graphing ParabolasGraphing ParabolasMPM 2D1
AgendaAgendaWarm upProperties of ParabolasParabolas in our LivesPractical ApplicationsTOC
Warm upWarm upClass Websitehttp://mcgregormpm2d1.wikispac
es.com/
Untie the knot
Properties of ParabolasProperties of Parabolas
Matching ActivityMatching 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 yours
Sit with your partner when you found them
Matching ActivityMatching Activity
(-2, -7)
(0, 0.64)
a = 1
Graph to EquationGraph to Equation
(1, -2)
(2, -1)
Graph to EquationGraph to Equationh = 1, k = -2x = 2, y = -1y = a(x-h)2+k-1 = a(2-1)2-2-1 + 2 = a(1) 2
1 = aEquation
◦y = (x-1) 2-2
Parabolas in our LivesParabolas in our LivesTop edge of a spoonMotion of a swingFace shapeRoller coasterArrow projectoryA bowArch of a bridgeHorseshoeTop of a mushroomShoe front
Practical ApplicationsPractical ApplicationsThe flight path of a firework is
modelled by the relation h = -5(t-5)2 + 127, 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.
Practical ApplicationsPractical ApplicationsA) 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 = 127h = 5
Practical ApplicationsPractical ApplicationsB) 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)2 + 127h = -5(-5)2 + 127h = -5(25)+127h = -125+127h = 2 m
TOCTOCState the vertex and axis of
symmetry for the following equation:
y = (x+2)2 + 4
Homework◦Handout◦Pg. 185, Q # 6, 8, 13