Select the correct graph for the equation y = (x-m)(x-n), if m > 0 and n < 0.

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Solution

The correct option is B

y = (x-m)(x-n)

$y = x^{2} + (m + n) x + m n$

Since a is positive, it is upward opening graph.

One root is greater than 0 and another is less than 0

So, the solution in option b is perfectly representing the graph of given equation.

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Select the correct graph for the equation $y = - x^{2} + (m + n) x + m n$ , if m > 0 and n > 0.

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