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13. Determine the amplitude, the period, and the phase shift = of the function and sketch the graph of the function: Make certain to demonstrate all phases of devel...

Question

13. Determine the amplitude, the period, and the phase shift = of the function and sketch the graph of the function: Make certain to demonstrate all phases of development (i.e. transformations), well as to declare the domain and range of the final graphed function. sin (2x

13. Determine the amplitude, the period, and the phase shift = of the function and sketch the graph of the function: Make certain to demonstrate all phases of development (i.e. transformations), well as to declare the domain and range of the final graphed function. sin (2x



Answers

Determine the amplitude, period, and phase shift of each function. Then graph one period of the function. $$y=3 \sin (2 x-\pi)$$

For this question. First, we like the function in a general form, so we like sine X in the Children's home. That is very Quinn's case. I be multiplied by X minus C. In this case, amplitude is more a 1,000,000,000 Aziz moored off Dubai upon be as signings has speedy Dubai on the fee shift is given by see upon be now we'll compare our general form with the Kevin function starters. My equals went upon to sign off X place by I do which can be lifted us when upon to signed off x minus by this provide amplitude here as half the beach. It here as Dubai on the face shift is minus Bye bye. Do report this using the T i e for calculator and then the function are shown on your recording screen. So we end our function that does one by two sane x plus bye bye to we top on the craft. Important on this is a required cross

Amplitude off the function Vie Quito three times off Sign by X less to is given by more philosophy which is equal to the magnitude of the coefficient of the trigonometry function. Here the magnitude is three. Therefore am clitoris three be there off the function is equal toe period off sine X which is two pi divided by the multiplying factor effects which is spy. Therefore really it is phrase all the function can be found by comparing the given function with a sign BX minus c He had b is by and see is minus two phrases given by see by B which is equal to minus Trudy Writer Bye bye. So minus truly ready by pies the fees off the function Let us draw the graph Now the graph of function will start from minus true by pie it will be like this at 0.27 it will reach the maximum value three didn't will come back to meet the X axis at 1363 will be minimum at 0.636 Then we'll Terminator 21.3 60. The difference off minus two by pie and 1.36 threes the period off the given function, which is too. So this is the graph off the given function. Vike Well, too three. Sign my ex Bless toe.

Amplitude of the function Vike will do through your times. Off sign two X minus Bye bye to is given by model is off which is equal to coefficient of the economic function which is three. Therefore amplitude is three We did off. The function is equal toe period off sine X which is hope I divided by the multiplying factor, affects which is two year therefore be there off the function is by fears off Vike Well too three times off. Sign two x minus Bye bye to can be found By comparing the given relation with your sign Be explained a c here, be equal toe seek wayto bye bye phrase is calculated by sea by B. In this case, it is bye bye to holy rated by toe which is equal to bye bye food Therefore fears is bye bye food. Let us draw the graph of the function on a scale since the freezes by before the draft will start from by before it will reach the maximum value at plus three and minimum in my industry and will oscillate between these two points. So this will be the graph off the given function. It will go like this will pass through minus three Art by her and real Terminator fight. Bye bye. Four. This is a single cycle of the given function. Vike. Well, one by Vike will three times off. Sign two x minus. Bye Bye. Three times off. Sign two X minus vibrato. This is the graph off given function.

For this question. First, we like the function in a general form, so we like sine X in the Children's home. That is very Quinn's case. I be multiplied by X minus C. In this case, amplitude is more a 1,000,000,000 Aziz moored off Dubai upon be as signings has speedy Dubai on the fee shift is given by see upon be Now we compare our general form with the given function That is why equals one upon three sine x minus full here amplitude as clearly went by three beard as Dubai on the face shift a zero. Now people are dysfunction using the DEA every four calculator And did the function I shown on There's clean status one upon three signed Becks minus four. I want the craft putting on this is the required craft.


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