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Mathematics

Grade10

Easy

Question

The x - coordinate of the vertex of a quadratic function is _______.

$\frac{c}{b}$
$- \frac{b}{2 a}$
$\frac{2 a}{b}$
$\frac{a b}{c}$

The correct answer is: $negative fraction numerator b over denominator 2 a end fraction$

ax² +bx +c =0
differentiating with respect to x, we get
2ax +b =0
x = $fraction numerator negative b over denominator 2 a end fraction$
so the x coordinate of vertex is $fraction numerator negative b over denominator 2 a end fraction$
The x - coordinate of the vertex of quadratic function is $negative fraction numerator b over denominator 2 a end fraction.$

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