SOLUTION: Graph each sinusoidal function over two complete cycles a)f(x) = 2 cos x - 3 b)f(x) = 4 sin x - 2 c)f(x) = 1/2 cos x +3 Can you please help me? Thank you

Algebra ->  Trigonometry-basics -> SOLUTION: Graph each sinusoidal function over two complete cycles a)f(x) = 2 cos x - 3 b)f(x) = 4 sin x - 2 c)f(x) = 1/2 cos x +3 Can you please help me? Thank you      Log On


   

Question 860440: Graph each sinusoidal function over two complete cycles
a)f(x) = 2 cos x - 3
b)f(x) = 4 sin x - 2
c)f(x) = 1/2 cos x +3
Can you please help me? Thank you
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Graph each sinusoidal function over two complete cycles
a)f(x) = 2 cos x - 3
Sketch a cosine curve.
Amplitude is 2 so label the y-intercept (0,2)
The lowest point is (pi,-2)
Move each point of the curve down 3.
graph%28400%2C400%2C-6.5%2C6.5%2C-6%2C6%2C2cos%28x%29-3%29
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b)f(x) = 4 sin x - 2
Sketch a sine curve.
Amp is 4
Move each point of the curve down 2.
graph%28400%2C400%2C-6.5%2C6.5%2C-6%2C6%2C4sin%28x%29-2%29
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c)f(x) = 1/2 cos x +3
Sketch a cosine curve.
Amp is 1/2
Move each point up 3.
graph%28400%2C400%2C-6.5%2C6.5%2C-3%2C8%2C%281%2F2%29cos%28x%29%2B5%29
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Cheers,
Stan H.
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