Which of the following is not the graph of a quadratic polynomial?
Video Explanation
Watch the video explanation below:
Explanation
A quadratic polynomial of the form y = ax² + bx + c always represents a parabola. Its graph:
- is shaped like ∪ (opens upward) or ∩ (opens downward),
- has at most two x-intercepts (roots),
- cannot cross the x-axis more than two times. :contentReference[oaicite:0]{index=0}
So, any curve that crosses the x-axis three times or is not a parabola cannot be the graph of a quadratic polynomial.
Which Graph Is Not Quadratic?
Among the provided figures, the one that:
- crosses the x-axis at three distinct points, or
- does not show a parabola shape
is not the graph of any quadratic polynomial.
Final Answer
The graph that crosses the x-axis at three points is not the graph of a quadratic polynomial.