Section 3.2 - 3.1 Quadratic Functions!quadratic...

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3.1 – Quadratic Functions " quadratic function #$ % %&’ ()&*+#,& ,( +-. (,/0 1 23 f x ax bx c ! "" 4 5-./. a #$ &,+ .6)%7 +, 8./,9 :-. ;/%<- ,( % 6)%=/%+#* ()&*+#,& #$ *%77.= % parabola. >%/%?,7%$ 7,,@ ?,57 ,/ *)< $-%<.=9 A+ 5#77 ,<.& up #( a #$ <,$#+#B. %&= down #( a #$ &.;%+#B.9 :-. +)/&#&; <,#&+ ,( +-. <%/%?,7% #$ *%77.= +-. vertex 9 :-. B./+#*%7 7#&. +-%+ ?#$.*+$ +-. ;/%<- +-/,);- +-. B./+.C #$ *%77.= +-. axis of symmetry 9 :-. y D*,,/=#&%+. ,( +-. B./+.C /.</.$.&+$ +-. minimum value ,( +-. ()&*+#,& #( +-. ;/%<- ,<.&$ )< %&= +-. maximum value ,( +-. ()&*+#,& #( +-. ;/%<- ,<.&$ =,5&9 "&%7’8#&; E)%=/%+#* F)&*+#,&$ A( +-. ()&*+#,& #$ 5/#++.& #& +-. (,/0 1 f x ax bx c ! G H9 F#&= +-. B./+.C )$#&; +-. (,/0)7% # # $ % & & ( # $ % & ( ) ) a b f a b 1 4 1 9 19 :-. %C#$ ,( $’00.+/’ -%$ +-. .6)%+#,& 1 b x a !) 9 I9 :-. 0#& ,/ 0%C B%7). 5#77 ?. .6)%7 +, # $ % & ( ) a b f 1 9 ! JC%0<7. H K#B.& +-. ()&*+#,& 1 2 3 1 I f x x x ! ) ) 4 (#&= +-. B./+.C4 %C#$ ,( $’00.+/’4 0#&L0%C B%7).4 %&= [email protected]+*- +-. ;/%<-9 "
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A( +-. ()&*+#,& #$ 5/#++.& #& +/%&$(,/0%+#,&%7 2$+%&=%/=3 (,/0 k h x a y " ) ! 1 3 2 G H9 :-. B./+.C 5#77 ?. 7,*%+.= %+ +-. <,#&+ 3 4 2 k h 9 19 :-. %C#$ ,( $’00.+/’ -%$ +-.
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Section 3.2 - 3.1 Quadratic Functions!quadratic...

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