Question

Which of the following is not the graph of a quadratic polynomial?

Options

• 

• 

• 

• 

Answer 1

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.