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y= -3cos(2x-pie/2) and y=-4cos(2x-pie/2) Two separate math problems

0 votes

Determine the amplitude, period, and phase shift of each function. Then graph one period of the function.

asked Mar 4, 2014 in TRIGONOMETRY by abstain12 Apprentice

2 Answers

0 votes

image

The above function is in the form image.

image, image, image

Here image.

The amplitude  image, stretch image.

We have period image.

So, image

Phase shift image

Since the period of a sinusoidal function is image.

The solutions of the function are

image

image

So, image is one cycle of the function.

Now find key points using interval difference image.
 

             x

        image

        image

       image

     image           

     image

               y

          -3

         0 

        3

         0  

        -3  

The graph is

image

answered Apr 17, 2014 by Johncena Apprentice
0 votes

image

Similarly we can find the amplitude, period and phase shift of the function.

Here image, image, image

Amplitude image

Period image

Phase shift image.

Since the period of a sinusoidal function is image.

The solutions of the function are

image

image

So, image is one cycle of the function.

Now find key points using interval difference image.

             x

        image

        image

       image

     image           

     image

               y

          -4

         0 

        4

         0  

        -4

The graph of the function is

image

answered Apr 17, 2014 by Johncena Apprentice

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