Respuesta :

Answer:

Step-by-step explanation:

Use the form  a sin ( bx- c) + d   to find the variables used to find the amplitude, period, phase shift, and vertical shift.

a = 3

b =  2

c  =  0

 d  =  0

Find the amplitude  |  a |

Amplitude:  3

Find the period using the formula  2π ÷ IbI

Period:  π

Find the phase shift using the formula  [tex]\frac{c}{b}[/tex]

Phase Shift:  0

Find the vertical shift  : d

Vertical Shift:  0

List the properties of the trigonometric function.

Amplitude:  3

Period:  π

Phase Shift:  0  ( 0  to the right)

Vertical Shift:  0

Select a few points to graph.

x                       f ( x )

0                        0

π ÷ 4                 3

π  ÷ 2                 0

3 π  ÷ 4              -3

π                         0

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

Amplitude:  3

Period:  π

Phase Shift:  0  ( 0  to the right)

Vertical Shift:  0

x                       f ( x )

0                        0

π ÷ 4                 3

π  ÷ 2                 0

3 π  ÷ 4              -3

π                         0