Sect.7.1 Graphing Quadratic Equations - Holy Spirit High...

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Sect.7.1GraphingQuadraticEquationsInchapter6westudiedquadraticfunctionandtheirgraphs.Wecannowalgebraicallydeterminetheinterceptsofaquadraticfunction bysolvingtheequation

Knowingtheinterceptsallowsustomorepreciselygraphafunction.

Example1:

Graph

Findthecoordinatesofthevertex:

Statethecoordinatesoftheintercept:

Findthecoordinatesoftheinterceptsbyfactoringorquadraticformula:

Theinterceptsaresolutionstotheequation

.

10 8 6 4 2 0 2 4 6 8 10

10987654321

12345678910

x

y

2

Example2:

Graph

.

.

10 8 6 4 2 0 2 4 6 8 10

151413121110987654321

1234

x

y

3

Example3:

Graph

.

10 8 6 4 2 0 2 4 6 8 10

10987654321

12345678910

x

y

4

Remember:

Thexinterceptsofthegraph,orthezerosofaquadraticfunctioncorrespondtotherootsofthequadraticequation.

Forexample:Findtherootsoftheequationx27x+12=0Findthezerosoff(x)=x27x+12Findthexinterceptsofy=x27x+12

Example4:

Graph

10 8 6 4 2 0 2 4 6 8 10

10987654321

12345678910

x

y

5

Attachments

PM117s1.gsp

pm7s1p8.tns

7s1e1finalt.mp4

7s1e2finalt.mp4

7s1e3finalt.mp4

pm7s1p1.tns

pm7s1p2.tns

PM117s12.gsp

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