Graph the function, and determine the amplitude, period, and phase shift:                                                                 y =- sin (1/2 x -  π/2 ) + 1/2

Q: Graph the following function y = 5sin (2x/5 -π/5) +2. What is the amplitude and period of the…

A: Consider a general sinusoidal function, y=asinbx+c+d Where, Amplitude = a Y-intercept = d Time…

Q: = 1/4 tan (6x – T/3): Give the phase shift, period, and step. Write the For the function y table of…

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Q: 3. The average temperature in Detroit, Michigan on any given day of the year can be modeled by T(t)…

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Q: For the following sine functions, identify the Amplitude and Period, and graph at least one cycle of…

A: We have to find amplitude and period of given function.

Q: For each Function, sketch its graph and indicate the parameters ( period, phase shift, domain and…

A: The given function is y=tan122x+π4-2 The function can be written as: y=tanx+π8-2 Comparing it to the…

Q: Consider the function f(x) -3 sec( 0.5 x ) – 1. Transform the point (Tt, -1), on the parent graph y…

A: As you post multiple questions According to the guideline I only solve the first problem. Please…

Q: . Sketch the graph of g(x)=sin7x, using the amplitude and th period.

A: To sketch the graph of the function

Q: GRAPH THE TRIGONOMETRIC FUNCTION USING THE AMPLITUDE, PERIOD, PHASE SHIFT, AND VERTICAL SHIFT. fy=-…

A: I am attaching image so that you understand each and every step.

Q: 1. Consider the function y = 7 cos[(x −)] +3 a. What is the amplitude? b. What is the period? c.…

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Q: (d) Use a phase shift to fit a function of the form A sin(Bt + C) + D to the data, where t is the…

A: d) The sine function with a phase shift can be written as . The values of and  will remain the same…

Q: For the equation, identify the amplitude, period, and phase shift and sketch (at least) one complete…

A: In y = A sin(B(x + C)) + D Amplitude=A Period=2πB Phase shift=C Given y=13sin(3x-π2)=13sin(3(x-π6)…

Q: 6. Draw the graph of f(x) = -3 cos(x + pi/2) Amplitude: Period: H. shift: V. shift: -20 23 -)

A: We have to find all the terms

Q: Graph the function y=cosx, subject to the following changes: vertical shift up 5 reflection over the…

A: Step 1: The general form of a cosine function is:y=Acos(B(x−C))+DWhere:A  is the amplitude.B affects…

Q: write an equation of the form y=a sin [k(x-b)] with the given amplitude : pi  period:4, and phase…

A: The objective of this question is to write a sine function in the form y=a sin [k(x-b)] given the…