Draw the graph for the equation: $y = 2 x^{2} + 5 x$

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Solution

$y = 2 x^{2} + 5 x$
On factoring we get,
$x (2 x + 5) = 0$ .
The roots are $x = 0, - \frac{5}{2}$
Since the constant term $y$ -intercept is $0$ , this graph passes through the origin.

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y = x^{2} + 5 x + 6

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