SOLUTION: Graph the function. y=4sin(2x+4)-2 Each graph should contain at least two periods. verify the graph using a graphing utility. use the graph to determine the domain and the range o

Algebra ->  Trigonometry-basics -> SOLUTION: Graph the function. y=4sin(2x+4)-2 Each graph should contain at least two periods. verify the graph using a graphing utility. use the graph to determine the domain and the range o      Log On


   



Question 799237: Graph the function. y=4sin(2x+4)-2 Each graph should contain at least two periods. verify the graph using a graphing utility. use the graph to determine the domain and the range of each function.
Answer by lwsshak3(11628) About Me  (Show Source):
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Graph the function. y=4sin(2x+4)-2 Each graph should contain at least two periods. verify the graph using a graphing utility. use the graph to determine the domain and the range of each function.
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form of equation for sin function:
y=Asin(Bx-C)+D,A=amplitude, Period=2π/B, Phase shift=C/B, vertical shift=D
Foe given function:y=4sin(2x+4)-2
Amplitude=4
B=2
Period=2π/B=2π/2=π
C=4
Phase shift=C/B=4/2=2 (to the left)
Vertical shift=-2
Domain: (-∞,∞)
Range:[2,-6]
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