To draw the graph of the height function $h(t) = -0.5t^2 + v_0t + h_0$, we'll need the values for the initial velocity $v_0$ and the initial height $h_0$. These parameters affect the shape and position of the parabola, where:

• $v_0$ is the initial velocity (how fast the object starts moving).
• $h_0$ is the initial height (the height at $t = 0$).

If you provide specific values for $v_0$ and $h_0$, I can generate an exact graph for you. Would you like to use any particular values for these, or should I proceed with default assumptions?