Question

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

• A.
• B.
• C.
  
• D.

Answer 1

The correct option is D

For any quadratic polynomial $a{x}^2+bx+c,a\ne 0$, the graph of the corresponding equation $y=a{x}^2+bx+c$ has one of the two shapes either open upwards like $\cup$ or open downwards like $\cap$ depending on whether $a>0ora<0$, these curves are called parabolas. So, option (d) cannot be possible.
Also, the curve of a quadratic polynomial crosses the x-axis atmost two points but in option (d) the curve crosses the x-axis on three points. So it does not represent the quadratic polynomial.