y = 576 2 x + 2 The graph of the given equation in the xy

Choice A is correct. The y-intercept of a graph in the xy-plane is the point where $x=0$. Substituting $0$ for $x$ in the given equation, $y={576}^{\left(2x+2\right)}$, yields $y={576}^{\left(2\left(0\right)+2\right)}$, which is equivalent to $y={576}^2$, or $y=\mathrm{331,776}$. Therefore, the graph of the given equation in the xy-plane has a y-intercept of $\left(0,\mathrm{331,776}\right)$. It follows that $r=0$ and $s=\mathrm{331,776}$. Thus, the equivalent equation $y={\mathrm{331,776}}^{\left(x+1\right)}$ displays the value of $s$ as the base.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.