SAT Question 7fe7cf26: Nonlinear Functions answer and explanation with Desmos solution

Choice B is correct. It's given that $y$ represents the height, in feet, of the ball $x$ seconds after it was launched. It's also given that during the first part of an experiment, a ball was launched from a $7$ -foot-tall platform. Therefore, the y-coordinate of the y-intercept of the given graph, $7$, represents the platform height, in feet. During the second part of the experiment, the platform the ball was launched from was $2$ feet shorter than the platform in the first part of the experiment. It follows that the height of the platform in the second part of the experiment was $7-2$ feet, or $5$ feet. Therefore, the y-coordinate of the y-intercept of the graph representing the second part of the experiment must be $5$. Only choice B satisfies this condition.