A Ferris wheel has a radius of $10$ meters. The bottom of the wheel is $2$ meters above the ground. The wheel, rotating at a constant speed, takes $100$ seconds to complete one revolution.

Draw a graph of your function.

Sketch the graph of the function $y=4\sin x$. Label all the $x-$intercepts on your sketch graphs.

Write down the function shown in the following graph.

Write down the function shown in the following graph.

Write down the function shown in the following graph.

Write down the function shown in the following graph.

Four functions are shown at the right. When graphed, choose the function(s) that intersect the $y-$axis at $(0,2)$.

$$\begin{gathered} y=2\cos x \\ y=0.5\sin x \\ y=4\cos x \\ y=2\sin x \end{gathered}$$

A Ferris wheel has a radius of $5$ meters and is $1$ meter above the ground. It takes $2$ minutes to make one complete revolution.

Find a function that models this Ferris wheel.