The minimum value of $4 x^{2} - 8 x + 7$ , is

3

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4

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5

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6

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Solution

The correct option is B $3$
The minimum value of $f (x) = 4 x^{2} - 8 x + 7$
Differentiating it with respect to $x$
$⟹ 8 x = 8$
$x = 1$
The coefficient of $x^{2}$ is $4$
Therefore , it is upward parabola with minimum value at $x = 1$
Minimum value $= 4 - 8 + 7 = 3$

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