SAT Question 0ad5012e: Nonlinear Functions answer and explanation with Desmos solution

Choice B is correct. The y-intercept of a graph in the xy-plane is the point where $x=0$. For the given equation, the y-intercept of the graph in the xy-plane can be found by substituting $0$ for $x$ in the equation, which yields $y=-\frac{1}{4}(0{)}^2+2\left(0\right)+29$, or $y=29$. Therefore, the y-intercept of the graph is $(0,29)$. It's given that $y$ is the estimated number of scheduled deliveries $x$ months after the end of May $2012$. Therefore, $x=0$ represents $0$ months after the end of May $2012$, or the end of May $2012$. Thus, the best interpretation of the y-intercept of the graph of this equation in the xy-plane is that at the end of May $2012$, the estimated number of scheduled deliveries was $29$.