The graph you've provided shows a curve with two turning points, and it appears to resemble a parabola opening upwards. A polynomial's degree is determined by the number of turning points or changes in direction it has.

• For 1 turning point, the polynomial is quadratic (degree 2).
• For 2 turning points, as in this case, the polynomial can be cubic (degree 3).

However, the curve has a smooth, symmetric shape similar to a parabola, suggesting that this might actually be a degree 2 polynomial (a quadratic function). Therefore, the least possible degree of the polynomial graphed is 2.

Would you like further details or have any questions?

Here are five related questions:

1. What is the general form of a quadratic polynomial?
2. How does the number of turning points relate to the degree of a polynomial?
3. Can a cubic polynomial ever have only one turning point?
4. How do you find the vertex of a quadratic function from its equation?
5. What are the characteristics of polynomials of higher degrees (like quartic or quintic)?

Tip: The degree of a polynomial always influences its number of turning points; a degree $n$ polynomial can have up to $n-1$ turning points.