Answer
See the figure below.
Work Step by Step
We know that the position of a damping system is given by
$$x_{(t)}=Ae^{-t/2\tau}\cos(\omega t+\phi_0)$$
We need to make some assumptions to draw a good sketch. Let's assume that $A=1$ and that $\phi_0=0$.
Now we need to plug the given and the assumptions.
$$x_{(t)}=1\cdot e^{-t/2(4)}\cos(2\pi f t+ 0)$$
$$x_{(t)}= e^{-t/8}\cos(2\pi (1)t )$$
$$\boxed{x_{(t)}= e^{-t/8}\cos(2\pi t )}\tag{$0\leq t\leq10$}$$
Now we can use any software calculator to sketch our graph from $t=0$ s to $t=10$ s.
See the figure below.
