ANSWER
[tex]h= 2 \cos(\pi(t + \frac{1}{2} )) + 5[/tex]
EXPLANATION
The given equation that models the height is
[tex]h(x) = - 2 \sin(\pi(t + \frac{1}{2} )) + 5[/tex]
This is sine a sine function that is reflected in the x-axis.
This function will coincide with the cosine function with the same amplitude, period, phase shift and vertical translation.
The function that can also model this height is
[tex]h= 2 \cos(\pi(t + \frac{1}{2} )) + 5[/tex]
The last choice is correct.
