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Question
Which of the following is not the graph of a quadratic polynomial?
Options
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Solution
Explanation:
For any quadratic polynomial ax2 + bx + c, a ≠ 0
The graph of the corresponding equation y = ax2 + bx + c has one of the two shapes either open upwards like ∪ or open downwards like ∩ depending on whether a > 0 or a < 0. These curves are called parabolas.
So, option (d) cannot be possible.
Also, the curve of a quadratic polynomial crosses the X-axis on at most two points but in option (d) the curve crosses the X-axis on the three points, so it does not represent the quadratic polynomial.
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