The given function is,
The graph can be drawn as,
The period will be distance between two consequetive maximas,
Thus, period is correct.
The amplitude can be determined as,
Thus, amplitue is incorrect.
The range is,
Thus, the range is correct.
The midline is,
Thus, the midline is correct.
Thus, option (b) is the solution.
The rock will hit the ground at 2 seconds.
Explanation:
Given that the height, h, in feet of a rock above the ground is given by the equation , where t is the time in seconds after the rock is thrown.
We need to determine the time at which the rock will hit the ground.
To determine the time, let us equate the height h = 0 in the equation , we get,
Switch sides, we have,
Let us solve the equation using the quadratic formula.
Thus, we have,
Simplifying, we get,
Hence, the two values of t are
and
Simplifying the values, we get,
and
Dividing, we get,
and
Since, t cannot negative values, we have,
Thus, the rock will hit the ground at 2 seconds.