SAT Question 7eed640d: Nonlinear Functions answer and explanation with Desmos solution

Choice D is correct. The positive $x$-intercept of the graph of $y=h(x)$ is a point $(x,y)$ for which $y=0$. Since $y=h(x)$ models the height above the ground, in feet, of the projectile, a $y$-value of $0$ must correspond to the height of the projectile when it is $0$ feet above ground or, in other words, when the projectile is on the ground. Since $x$ represents the time since the projectile was launched, it follows that the positive $x$-intercept, $(x,0)$, represents the time at which the projectile hits the ground.