The vertex of the function is given by the formula h = 6t^2 - 24t + 30, where t is the time in seconds and h is the height in feet.
To find the vertex, we need to find the values of t and h that minimize the height of the owl above the ground. This occurs at the vertex of the parabola.
The formula for the x-coordinate of the vertex is given by -b/2a, where a and b are the coefficients of the quadratic equation in standard form (h = at^2 + bt + c).
In this case, a = 6 and b = -24. Plugging these values into the formula, we get:
t = -(-24) / 2(6)
t = 24 / 12
t = 2
To find the y-coordinate of the vertex, we substitute the value of t into the equation:
h = 6(2)^2 - 24(2) + 30
h = 6(4) - 48 + 30
h = 24 - 48 + 30
h = 6
Therefore, the vertex of the function is (2, 6).
The correct interpretation of the vertex is (2, 6).