Graph drawn from the equation $y = x^{2} - 3 x - 4$ will be

Circle

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Parabola

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Straight line

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Hyperbola

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Solution

The correct option is A Parabola
$y = x^{2} - 3 x - 4$
$x^{2} - 3 x = y + 4$
$(x - \frac{3}{2})^{2} = y + 4 + \frac{9}{4}$
$(x - \frac{3}{2})^{2} = y + \frac{25}{4}$
Graph of equation will be parabola.

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3 x - 4 y = 12

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