The graph shows the height in feet of an object above the ground `t`seconds after it was launched from the ground.

Which function is best represented by the graph of this situation?

1 answer

The function that best represents the relation between time and height in this situation is a quadratic function. The graph shows a parabolic shape, which is characteristic of a quadratic function. The equation for a quadratic function is typically in the form of:

h(t) = at^2 + bt + c

where:
- h(t) is the height of the object at time t
- a, b, and c are constants

The graph will have a y-intercept at time t = 0, which represents the initial height from which the object was launched. The vertex of the parabola will represent the maximum height reached by the object.