1. **State the problem:** We analyze the graph of Michael Jordan's jump height $h$ as a function of time $t$. 2. **Identify the function type:** The graph is a parabola opening downward, so it is a quadratic function with a negative leading coefficient. 3. **Hang time:** Hang time is the total time the player is in the air, which corresponds to the time interval where $h>0$. From the graph, the jump starts at $t=0$ and ends at $t=1.5$ seconds, so hang time is $1.5$ seconds. 4. **Maximum height:** The maximum height is the vertex of the parabola, which occurs at $t=0.75$ seconds with height $h=1$ meter. 5. **Height between $t=0.5$ and $t=1$:** Since the parabola opens downward and the vertex is at $t=0.75$, the height increases from $t=0.5$ to $t=0.75$ and then decreases from $t=0.75$ to $t=1$. **Final answers:** - This is the graph of a **quadratic** function. - Michael Jordan's hang time is **1.5** seconds. - The maximum height is about **1** meter. - For $t$ between $0.5$ and $1$, the height first increases then decreases.