quadratic functions - stations lab
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Q-U-A-D-R-A-T-I-C Functions Stations Lab
Name (s) ____________________________ Date ___________
Your goa is to !isit" in an# or$er" eac% o& t%e ' ettere$ stations o& t%e
Q-U-A-D-R-A-T-I-C Functions Stations Lab it% #our artner(s)* Cometet%e or+ gi!en t%ere* S,. ALL YUR .R/000
StationTeac%er1s
Initias2Comments
Q
U
A3
D
R
A4
T
I
C
Lab Comete$
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STATION Q:
3)y = 3(x + 2)2 + 9
5erte67 _______________
Increasing7_____________
Decreasing7_____________
Domain7 ______________
Range7 _______________
8a6imum7______________
8inimum7_______________
A6is o& S#mmetr#7 _____________
#-intercet7 ______________
9eros7 _____________________
Trans&ormation &rom
2y x=
7____________
____________________________________
4)y =x2 + 2x 8
5erte67 _______________
Increasing7_____________
Decreasing7_____________
Domain7 ______________
Range7 _______________
8a6imum7______________8inimum7_______________
A6is o& S#mmetr#7 _____________
#-intercet7 ______________
9eros7 _____________________
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Trans&ormation &rom
2y x=
7____________
____________________________________
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STATION U:So!e eac% :ua$ratic e:uation using an# met%o$ #ou is%* S%o a#our or+*
3)a
2+14a 51 = 0
4)5x
2+20x 60 = 0
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;)x
291 = 4x
" >) an$ (-4" >) an$ asses t%roug% t%e oint (-;" 4;)*
4) 5erte6 = (?"-')@ asses t%roug% ('"4;)
;) 8i+e %it a go& ba t%at %a$ a ma6imum %eig%t o& ?4 &eet in t%e air* T%eba %it its ma6imum %eig%t 3*' secon$s a&ter it as initia# %it* .rite a:ua$ratic e:uation in !erte6 &orm to mo$e t%e at% o& t%e ba*
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STATION D:
So!e
y =x2
2x 3
b# using allo& t%e met%o$s beo*
Factoring Completing the Square
Quadratic Formula Graphing
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STATION :!rite the equation o" each quadratic "unction in all # "orm$%
3) 4)
5erte6 Form7 5erte6 Form7
Stan$ar$ Form7 Stan$ar$ Form7
Factore$ Form7 Factore$ Form7
;)
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STATION A&:
3) Bra%y = 7
an$y = 2(x 6)2 1
*
a) .%ere $o t%ese gra%s intersect
b) So!e t%e :ua$ratic e:uation7
2(x 6)2 1 = 7
4) Bra%
y = 5
an$
y = x2 12x 27
*
a) .%ere $o t%ese gra%s intersect
b) So!e t%e :ua$ratic e:uation7x2 12x 27 = 5
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STATION T:So!e eac% ARCC ractice robem*
3)
4)
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;)
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STATION I:Comete t%e tabe o& !aues &or eac% :ua$ratic &unction* S,. YUR.R/0
3)
24( 1) 10y x= +
' (
-;
-4
-3
>
3
4)
2 5 7y x x= +
' (
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