A parabola with equation $y=p{x}^2+qx+r$ is reflected about the $x$-axis. The parabola is translated horizontally two units to the right to become the graph of $y=f(x)$, and its reflection is translated horizontally two units to the left to become the graph of $y=g(x)$. Which of the following describes the graph of $y=(f+g)(x)$?