For each function, give the amplitude, period, vertical translation, and phase shift, as applicable.

y = 2 sin (x + π)

For each function, give the amplitude, period, vertical translation, and phase shift, as applicable.

y = -¼ cos (½ x + π/2)

Decide whether each statement is true or false. If false, explain why.

The graph of y = sec x in Figure 37 suggests that sec(-x) = sec x for all x in the domain of sec x.

Graph each function over a two-period interval. Give the period and amplitude. See Examples 2–5.

y = -2 sin 2 πx

Graph each function over a two-period interval. Give the period and amplitude. See Examples 2–5.

y = ½ cos π x

2

For each function, give the amplitude, period, vertical translation, and phase shift, as applicable.

y = 2 - sin(3x - π/5)

Graph each function over a two-period interval. Give the period and amplitude. See Examples 2–5.

y = π sin πx

Graph each function over a two-period interval.

y = cos (x - π/2 )