Question

A rock is thrown at 0 seconds from a height of 6 feet. If the parabola representing the height as a function of time has a vertex at 8 seconds, then what can you determine about the graph. The graph will have a height of 12 feet at 16 seconds. The graph will have a height of 6 feet at 16 seconds. The graph will have positive height for 16 seconds. The graph will have a positive height for less than 16 seconds.

Answer 1

Answer:

The correct option is;

The graph will have a height of 6 feet at 16 seconds

Step-by-step explanation:

The given parameters are;

The start time for throwing the rock = 0 s

The height from which the rock is thrown = 6 ft

The vertex of the parabola = 8 seconds

Given that the vertex is the axis of symmetry, then the time it takes the rock to reach the vertex (8 seconds) from the point (0, 6) will be the same time it takes the rock to reach the point on the other side of the parabola at the same 6 feet which will then have coordinates (8 + 8, 6) or (16, 6) which will be 6 feet in 16 seconds.