The quadratic function h(t)=-16.1^2+150 models a balls height in feet over time, in seconds, after it is dropped from a 15 story building. What does the graph look like?

  a parabola opening downward (see below)

Step-by-step explanation:

The graph of any quadratic function is a parabola. This one has a negative leading coefficient, so it opens downward. There is no term containing t to the first power, so the function is an even function: its axis of symmetry is the y-axis. The vertex is (t, h) = (0, 150).

See the attachment for a graph.

_____

Additional comments

An appropriate domain for the function is t ≥ 0, which would make the graph half a parabola.