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

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

Correct Answer: Option D

Explanation

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;
y_min = (1)² – 2(1) – 3
y_min = 1 – 2 – 3
y_min = -4

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