Consider the quadratic polynomial $y = a x^{2} + b x + c$ . Select the possible graphs for which $a < 0 & D = 0.$

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Solution

The correct option is B
If $a < 0$ then the parabola will be downward opening.
Also, $D = 0$ means it will touch $x -$ axis.

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y = a x^{2} + b x + c

a < 0 & D = 0.

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a > 0.

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