Which of the following represents the graph of $f (x) = a x^{2} + b x + c$ where $a < b < 0 < c$ ?

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Solution

The correct option is B
Given $f (x) = a x^{2} + b x + c$ and $a < b < 0 < c$
Now, as $a < 0$ , so downward opening parabola
$f (0) = c \Rightarrow f (0) > 0$

Hence, the possible graph in the given options is

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