Quadratics (Dec. 2-6, 2013)

1

Quadratics-Lesson 4

AGENDAObjective:Identifytheshapeandgraphofaquadraticfunction.

De?ineandidentifyquadraticfunctions.

1)IntrotoParabolas:‐3ShortVideos‐Notes

2)ComparingLinearandQuadraticEquations3)IdentifyingPartsofaParabola4)GraphingQuadraticsUsingTables

(usecalculator)Homework: Graphing and Identifying Parts of a Parabola

Quadratics (Dec. 2-6, 2013)

2

Quadratics-Lesson 4

Sketchapictureofthepaththebasketballtakes.

SketchapictureofthepaththeAngryBirdtakes.

ThisshapeiscalledaParabola.Parabolascanvisuallyrepresent

projectiles(basketballs,AngryBirds,rockets),fallingobjects,

pro3it,etc...

ThegraphcanberepresentedalgebraicallybyaQuadraticEquation.

y=ax2+bx+c

Letscomparewhatweknowaboutlinestowhatwewillcoveronparabolas.

act1-1.mov act3-1.mov angry birds video 1

Objective:Identifytheshapeandgraphofaquadraticfunction.De?ineandidentifyquadraticfunctions.

Quadratics (Dec. 2-6, 2013)

3

Quadratics-Lesson 4

Describe a Linear Function: Describe a Quadratic Function:

IntrotoQuadraticFunctions

Shape: Shape:

Equation: Equation:

LargestExponent: LargestExponent:

Quadratics (Dec. 2-6, 2013)

4

Quadratics-Lesson 4

Opensup:

OpensDown:

Vertex:

AxisofSymmetry(AOS):

y‐intercept:

x‐intercept:

y=ax2+bx+c

Quadratics (Dec. 2-6, 2013)

5

Quadratics-Lesson 4

IntrotoQuadraticFunctionsGraphtheequationsbelow

Usethegivenx‐valuestosolveforeachy‐value.Thenplotthepointsonthegraphs.

x y

2

3

4

5

6

x y

-6

-5

-4

-3

-2

x y

-2

-1

0

1

2

x y

2

3

4

5

6

x y

-2

-1

0

1

2

Homework: Graphing and Identifying Parts of a Parabola

Quadratics (Dec. 2-6, 2013)

6

Quadratics-Lesson 4

Homework: Graphing and Identifying Parts of a Parabola

Quadratics (Dec. 2-6, 2013)

7

Quadratics-Lesson 4