The figure shows the parabola $y = x^2$ and the line $y = 2x + 3$. The line cuts the parabola at the two marked points. What is the area of the shaded region between them?

Fig. 1: The parabola y = x squared, in blue, and the line y = 2x + 3, in orange. They cross at the red dots (-1, 1) and (3, 9). The region between them is shaded.