Which graph below best represents a quadratic equation with solutions x = –4 and x = 2? A, B, C, or D? Can you help me identify the correct one in the picture?

To determine which graph represents a quadratic equation with solutions of x = –4 and x = 2, we need to understand what these solutions represent graphically. These solutions, also known as roots or x-intercepts, are the points where the parabola (which is the graph of a quadratic equation) crosses the x-axis. Thus, we are looking for a graph where the parabola intersects the x-axis at x = –4 and x = 2.

Since you have provided "A B C D" as possible options but without an actual picture, I cannot directly identify which one is correct. However, here's what you should look for:

1. The graph must be a parabola, which has a U-shaped curve for positive leading coefficients or an upside-down U-shape for negative leading coefficients.

2. The parabola should cross the x-axis exactly at x = –4 and x = 2.

3. The parabola will either open upwards or downwards depending on the leading coefficient. If the leading coefficient is positive, the parabola opens up; if negative, it opens down.

Without the pictures to view options A, B, C, and D, we cannot specify which one is correct, but you can use the criteria above to determine the correct graph from your options. Remember, the only requirement to meet your conditions is that the graph crosses the x-axis at –4 and 2; the direction it opens (up or down) is not specified by the information given.