Graph the function if the given changes are made in the indicated examples of this section.

In Example 4, if the sign of the coefficient of sin x is changed, display the graph of the resulting function.

Data from Example 4

A certain water wave can be represented by the equation y = −2 sin x (measurements in ft). Display the graph on a calculator. Using radian mode on the calculator, Fig. 10.8 shows the calculator view for the key values in the following table:

We see the amplitude of 2 and the effect of the negative sign in inverting the curve.

T 0 X y 0 -2 min. 0 3T 2 max. 2T 0