Andy C. answered • 08/13/18

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Area = 1/2*base * height

= 1/2 X (2x-2)

= x(x-1) <--- 2 factors out and cancels 1/2

The min occurs at the average of the zeros.

The zeros are at x=0 and x=1

The average is x=1/2, at which the parabola is at -1/4

The closer to 1 the better as x approaches 1 from the RIGHT...

X=1.1, 1.01, 1.001, 1.0001, 1.00001 etc