Sketch the graphs of 𝑦 = 𝑎 sin(𝑏(𝑥 − ℎ)) + 𝑘, 𝑦 = 𝑎 cos(𝑏(𝑥 − ℎ)) + 𝑘, with and without technology.

A satellite dish rotates continuously about a fixed point. The height, \( h \) (metres), of a sensor on the edge of the dish above ground level is modelled by the function \[ h = 3.5 + 2\cos\left(\frac{\pi}{6}(t - 3)\right), \quad 0 \leq t \leq 24, \] where \( t \) is the time (hours) since midnight. Which graph correctly represents this function?

What is the period of the function $f(x) = 3\cos\left(2\left(x - \frac{\pi}{4}\right)\right) - 1$?