7. Given the equation y = 2 cos[4(x + 3)] + 1: a) rewrite the original equation if the period changes to T. b) rewrite the original equation if the amplitude changes to 5.

Q: 8. Sketch one period of y = -3 sin(Tx+ ). Clearly state the amplitude, period, and the phase shift.

A:

Q: 9 Determine the amplitude, Period, Phase Shift, and the range for y=-7coséx-210+5

A: If   y= a cosb(x-d)+c                   where,  Amplitude   =  aperiod          =  2πbPhase shift…

Q: 2. Find amplitude, shift, and graph: (a) y=(2sin2x) (B) y=(-sinx)+1

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Q: Explain how to sketch the graphs of y = sin(x) and y = cos(x) and explain how to find the period,…

A: Explanation and solutions is given below....

Q: Write a function of the form y = A cos (Bx − C) + D that has period pi/4, amplitude 2, phase shift…

A:

Q: Find the amplitude, period, and phase shift of y = 2 sin(r-)

A: The given function is  y=2sin12x-π4               ⋯1 Consider the standard sin function with…

Q: (a) Evaluate lim n arctan (b) Find the sum of the series 1+ 2"+1 3" n=1 (c) Test the series 2020" n!…

A: (a) Using arctanx=x-x33+x55-x77+......... So, arctan1n=1n-13n3+15n5-17n7+......... So, limn→∞n…

Q: Determine the A amplitude , P period and Ph phase shift .

A: Since there are multiple questions present, according to company policy we will be answering only…

Q: hat is the period, amplitude, phase shift of y=-4sin2(x-45

A: calculation of above requirement are as follows

Q: Consider the function y = –4 cos( 2x - (5π/3) ) – 2. a) What is the amplitude?  b) What is the…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Graph one period of the function y = 3 sin 2x.

A: Given: y = 3 sin 2x To graph: One period of the given function.

Q: 3 -2x Amplitude = Period = Equation:

A: We have to find amplitude, period and equation of the graph.

Q: Find the Period of the equation: y = 6 cos (2x)

A: Consider the function y=6cos2x   Known fact: The standard form of the cos function is y=acosbx+c+d…

Q: Consider the function y = -4 cos 2x - - 2. 3 a) What is the amplitude? b) What is the period? c)…

A: Since you have asked for a question with multiple sub-parts , we will solve the first three…

Q: Graph one complete cycle of y = 2ain (2x-) State the - amplitude, period, and phase shift.

A:

Q: Given the equation y=5 sin [4(x+600)} -2, find the value of amplitude, phase shift, the direction of…

A:

Q: Give an equation for a transformed sine function with an amplitude of 3, a period of , and a phase…

A: Given That : Amplitude  =3 Period =π4  phase shift =π5 To Find : Transform equation of sine function…