Which of the following functions is represented by the graph

Which of the following functions is represented by the graph below? y = 3sin4x y = 4sin3x y = 3sin y = 3sin6x

Use the form asin(bxc)+d to find the variables used to find the amplitude, period, phase shift, and vertical shift.

a=4

b=3

c=0

d=0

Find the amplitude (|a|).

Amplitude: 4

Find the period using the formula 2|b|.

Period: 23

Find the phase shift using the formula cb.

Phase Shift: 0

Find the vertical shift (d).

Vertical Shift: 0

List the properties of the trigonometric function.

Amplitude: 4

Period: 23

Phase Shift: 0 (0 to the right)

The trig function can be graphed using the amplitude, period, phase shift, vertical shift, and the points.

Amplitude: 4

Period: 23

Phase Shift: 0 (0 to the right)

Vertical Shift: 0

x f(x)

0 0

pi/6 4

pi/4 0

pi/2 4

2pi/3 0

so, the answer is B.) 4sin(3x)