a) Function I
Maximum point (0,4.5) and pass through point (2,4)
b=0, c=4.5
Substitute (2,4) into (1)
Function (II)
Maximum point (0,0.5) and pass through point (2,0)
b=0, c=0.5
Substitute (2,0) into (2)
Function (III)
Maximum point (2,4.5) and pass through point (0,4)
b=2, c=4.5

Substitute (0,4) into (3)





(b)

Area of the gray region
=Area of rectangle - Area P(Green Region)

NO MORE
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