Answer:
(C)4.125 seconds
Explanation:
The quadratic function modeling the rocket's movement is:
[tex]y=-16x^2+132x+6[/tex]
To determine the number of seconds it takes the rocket to reach its maximum height, we are being asked to find the equation of the line of symmetry.
For a quadratic function of the form y=ax²+bx+c, the equation of the line of symmetry is:
[tex]x=-\frac{b}{2a}[/tex]
In the given equation:
a = -16, b = 132
Therefore:
[tex]\begin{gathered} x=-\frac{132}{-2\times16} \\ x=4.125 \end{gathered}[/tex]
It takes the rocket 4.125 seconds to reach its maximum height.
