The question asks to identify two graphs that represent quadratic functions.

Quadratic functions are represented by the equation $y = ax^2 + bx + c$, and their graphs are parabolas. The key characteristic of a quadratic function's graph is that it is either "U-shaped" (opening upwards) or "n-shaped" (opening downwards).

Looking at the options:

• Graph A: This is not a parabola; it shows a curve that looks more like a cubic function.
• Graph B: This is a downward-opening parabola, so it is one quadratic function.
• Graph C: This is a straight line, which represents a linear function, not a quadratic one.
• Graph D: This is another straight line, also representing a linear function.
• Graph E: This curve is not a parabola, as it has an inflection point, which is characteristic of cubic functions.
• Graph F: This is an upward-opening parabola, so it is another quadratic function.

Thus, the two graphs that represent quadratic functions are B and F.

Would you like more details on quadratic functions or the characteristics of their graphs? Here are some related questions for deeper understanding:

1. What are the key features of a quadratic function's graph?
2. How do you determine if a parabola opens upwards or downwards?
3. What is the significance of the vertex in a quadratic function's graph?
4. How can you find the axis of symmetry of a quadratic function's graph?
5. What role do the coefficients $a$, $b$, and $c$ play in shaping the parabola?

Tip: A quadratic function always graphs as a parabola, so if the graph isn't a parabola, it’s not quadratic.