Fill in the Blank: A Ferris wheel completes one full rotation every 90 seconds. To model the height in degrees using $h(t)=A\cos (Bt)+D$ where $t$ is in seconds, the value of the parameter $B$ is ________.

Which of the following functions represents the graph of $y=\sin x$ after it has been translated 5 units up and then stretched vertically by a factor of 2?

An object's vertical position is modeled by the function $$y=10\sin \left(\frac{\pi }{4}(t-C)\right)+20$$ where $t$ is time in seconds. If the object is at its midline (principal axis) and moving upward at $t=1$, find the smallest non-negative value for the phase shift $C$.

True or False: The sinusoidal function $y=\sin (2x-10)$ has a phase shift of 10 units to the right relative to $y=\sin (2x)$.

Identify the phase shift and direction of the function $y=\cos (3x+\pi )$ relative to the parent function $y=\cos (3x)$.