In the next few problems all the answers are expressions of the form $$a\sin(bx-c)+ d \quad\hbox{or}\quad a\cos(bx-c)+ d$$ where the parameters $a$, $b$, $c$ and $d$ are simple numbers.
Often they are very simple, for example the choice $$a=b=1, \quad c=d=0$$ in the first expression just gives $\sin x$. In any case, you are not asked to enter values of the parameters, your answers should be algebraic expression involving the trigonometric functions.
The graphs may show up more clearly in a browser than on the printed hard copy of this assignment.
The figure
shows the graph of the function
$f(x)=$ .
The figure
shows the graph of the function
$f(x)=$ .