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Quadratics (Dec. 2-6, 2013) Quadratics (Dec. 2-6, 2013) Quadratics (Dec. 2-6, 2013)
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Quadratics-Lesson 5
AGENDA
1)TakeoutHWtobechecked(Graphing and Identifying Parts of a Parabola)2)DONOW3)HWquestions??4)AngryBirdsVideo2‐recognizingzeros‐standardformvsfactoredform
5)JIGSAW:CreatingEquationsfromgraphs‐factoredform‐standardform‐axisofsymmetry‐verex
6)Funnycases&whatcomesnext...
HW: "Graphing from Factored Form" worksheet
Quadratics (Dec. 2-6, 2013) Quadratics (Dec. 2-6, 2013) Quadratics (Dec. 2-6, 2013)
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Quadratics-Lesson 5
DONOW
AccordingtotheAngryBirdsgraphabove,answerthefollowingquestions:
1)DoesthisparabolaopenUPorDOWN(circleone)
2)DoesthisparaboloahaveaMAXorMIN(circleone)
4)Whatisthecoordinateofthevertex?(_______,_______)
5)TheequationfortheAxisofSymmetryis:x=___________
5)Whatisthecoordinateofthey‐intercept?(_______,_______)
6)Whatarethecoordinatesofthezeros?
(_______,_______)and(_______,_______)7)Whereshouldtherebeazeroifthebirdisgoingtohitthefarthestpig?(_______,_______)
Quadratics (Dec. 2-6, 2013) Quadratics (Dec. 2-6, 2013) Quadratics (Dec. 2-6, 2013)
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Quadratics-Lesson 5
StandardForm(ExpandedForm)y=ax2+bx+c
FactoredForm
y=a(x‐zero)(x‐zero)
Angry Birds Video 2
Quadratics (Dec. 2-6, 2013) Quadratics (Dec. 2-6, 2013) Quadratics (Dec. 2-6, 2013)
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Quadratics-Lesson 5
1)Locatethezerosbelow2)PlugthezerosintotheequationinFactoredForm3)UsetherootstoFindtheAxisofSymmetry4)Usetheaxisofsymmetrytobindthevertexalgebraically
*Challenge:ChangetheequationintoStandardForm(FOIL,Boxmethod,orDistribute)
a)
y=___(x‐__________)(x‐__________) y=___(x‐__________)(x‐__________)
y=___(x‐__________)(x‐__________) y=___(x‐__________)(x‐__________)
b)
c) d)
.
Quadratics (Dec. 2-6, 2013) Quadratics (Dec. 2-6, 2013) Quadratics (Dec. 2-6, 2013)
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Quadratics-Lesson 5
e)
y=___(x‐__________)(x‐__________) y=___(x‐__________)(x‐__________)
f)
Notallparabolashavetwozeros...
Whatdoyoudoifyouaregivenanequationinstandardformandyouwanttobindthezeros?
y=x2‐5x‐14
FACTORING:
Multiplying
(x‐7)(x+2)=x2‐5x‐14
Factoring undoes the process of multiplied polynomials.
HW: "Graphing from Factored Form" worksheet
Whatcomesnext...
Quadratics (Dec. 2-6, 2013) Quadratics (Dec. 2-6, 2013) Quadratics (Dec. 2-6, 2013)
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Quadratics-Lesson 5
1)Plotthe"zeros"2)Usethe"zeros"tobindtheaxisofsymmetry(x=_____)3)Plugthex‐valueoftheaxisofsymmetryintoyourequationtogetthevertex4)Plotthevertex5)Sketchyourparabola
Thebirsthasbeendoneforyou.
a)y=‐(x‐3)(x‐8) b)y=‐(x‐7)(x+2)
c)y=(x)(x‐4) d)y=(x+5)(x‐1)
.
HW: "Graphing from Factored Form" worksheet