Analyze fx (x)= 4\sin(3x-6)-2 using our “trig language” (amplitude, period

boitshupoO

boitshupoO

Answered question

2021-10-25

Analyze fx(x)=4sin(3x6)2 using our “trig language” (amplitude, period, etc.) and relate each trig feature to the transformational analysis we’ve done throughout the semester. In other words, state both a transformation, such as shifted left 118 units, and the corresponding “trig language,” phase shift of 118 units left. Be sure to include all transformations and trig features.

Answer & Explanation

avortarF

avortarF

Skilled2021-10-26Added 113 answers

The function is f(x)=4sin(3x6)2 compare the equation of the function with the standard sine equation that is y=Asin(B(x+C))+D to obtain the value of Amplitude A, Phase shift C, Vertical shift D and the value of B.
f(x)=4sin(3x6)2
f(x)=4sin(3(x2))2
y=Asin(B(x+C))+D
A=4
period=2πB
=2π3
C=-2
D=-2
Step 2
The transformational analysis of the functions is that it is a graph of sine functions that has been vertically shifted 2 units down , horizontally shifted 2 units to the right and horizontally shrunk by 3 units and vertically stretched by 4 units.

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