$解???: (1)???設(shè)???y= ax2+ bx+2,???把???(1,??????1)(3,??????5)???代入$
$得???:\begin{cases}{a+b+2=1}\\{9a+3b+2=5} \end{cases}???$
$解得???a=1,b=-2???$
$所以???y= x2- 2x+2???$
$???(2)???設(shè)???y=a(x+1)2+2,???$
$把???(2,??????1)???代入得???9a+2= 1,???$
$得???a=-\frac {1}{9}???$
$所以???y=-\frac {1}{9}x2-\frac {2}{9}x+\frac {17}{9}???$
$???(3)???設(shè)???y=a(x+ 1)(x- 2),???$
$把???(1 , 2)???代入得???-2a=2,???得???a=-1???$
$所以???y= -(x+1)(x-2)= -x2+x+2??$
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