A quadratic function models the graph of a parabola. The quadratic functions, y = x2 and y = x2 + 3, are modeled in the graphs of the parabolas shown below. Determine which situations best represent the scenario shown in the graph of the quadratic functions, y = x2 and y = x2 + 3. Select all that apply.

From x = -2 to x = 0, the average rate of change for both functions is negative
For the quadratic function, y = x^2, the coordinate (2, 3) is a solution to the equation of the function.
The quadratic function, y = x^2 + 3, has an x-intercept at the origin
The quadratic function, y = x^2, has an x-intercept at the origin
From x = -2 to x = 0, the average rate of change for both functions is positive
For the quadratic function, y = x^2 + 3, the coordinate (2, 7) is a solution to the equation of the function.