You may have thought that the amplitude was the height of the whole curve, but it is just the height of one hill. Another way to say this is that the amplitude of $\displaystyle{y}={a}{\sin{{b}}}{x}\usepackage{cmbright}\Huge\$ is given by $\displaystyle{\left|{a}\right|}\usepackage{cmbright}\Huge\$ . The period equals $\displaystyle\frac{{{2}\pi}}{{\left|{b}\right|}}\usepackage{cmbright}\Huge\$ . The period must be a positive number. The correct answer is: the amplitude is $\displaystyle\frac{{3}}{{4}}\usepackage{cmbright}\Huge\$ and the period is $\displaystyle{2}\pi\usepackage{cmbright}\Huge\$ .