) Which function would you use to model f (x) without needing to use a phase shift? b) What is the amplitude, average, and period of f (x)? c) Let k(θ) = 2 sin( π/3 θ) + 8. What is the amplitude, average, and period of k(θ)?

Consider the function f(x)=2 sin(π 2 (x−3)) +6  State the amplitude A, period P, and midline. State the phase shift and vertical translation. In the full period [0, P], state the maximum and minimum y-values and their corresponding xvalues.   Enter the exact answers.   Amplitude: A=A=    Period: P=P=    Midline: y=y=    The phase shift is              Click for List . The vertical translation is              Click for List .   Hints for the maximum and minimum values of f(x)fx: The maximum value of y=sin(x)y=sinx is y=1y=1 and the corresponding xx values are x=π2x=π2 and multiples of 2π2π less than and more than this xx value. You may want to solve π2(x−3)=π2π2x−3=π2. The minimum value of y=sin(x)y=sinx is y=−1y=−1 and the corresponding xx values are  x=3π2x=3π2 and multiples of 2π2π less than and more than this xx value. You may want to solve π2(x−3)=3π2π2x−3=3π2. If you get a value for x that is less than 0, you could add multiples of P to get into the next cycles. If you get a…

(d) Use a phase shift to fit a function of the form A sin (Bt + C) + D to the data, where t is the month number. (e) Use DESMOS to draw a scatterplot of the data. Compare the graphs of your two functions to this plot. Do they appear to model the data accurately?

a) Provide a table of values for the function y = 3 sin 2x for values of x = "-2π," "-3π/2," -π, -π/2, 0, π/2, π, 3π/2, 2π. (b) Draw the graph for these table of values

Solve c and d

FLUENCY For each of the following sinusoidal functions, determine its period in exact terms of pi. (a) y=6sin(10x) (b) y=-2cos(8x) (c) y=7sin((1)/(3)x)

I need help with this problem

Sketch the following, marking points of interest. Y = (x+2)(x+4)/(x+3) Y = 2 sin x + 1 Y = sin (2x)

Can someone please help? Thank you.

Sketch the graph of the function below and state its domain and range sin(x – 1) + e°