SAT Question 3918e8bc: Nonlinear Functions answer and explanation with Desmos solution

Choice D is correct. It's given that the equation $h=-4.9t^2+7t+9$ represents this situation, where $h$ is the height, in meters, of the object $t$ seconds after it is kicked. It follows that the height, in meters, from which the object was kicked is the value of $h$ when $t=0$. Substituting $0$ for $t$ in the equation $h=-4.9t^2+7t+9$ yields $h=-4.9{\left(0\right)}^2+7\left(0\right)+9$, or $h=9$. Therefore, the object was kicked from a height of $9$ meters.