Question on: JAMB Mathematics - 2014

Find the minimum value of y = x2 - 2x - 3

A
4
B
1
C
-1
D
-4
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Correct Option: D

y = x2 - 2x - 3,

Then (\frac{\delta y}{\delta x} = 2x - 2)

But at minimum point,(\frac{\delta y}{\delta x} = 0),

Which means 2x - 2 = 0

2x = 2

x = 1.

Hence the minimum value of y = x2 - 2x - 3 is;

ymin = (1)2 - 2(1) - 3

ymin = 1 - 2 - 3

ymin = -4

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