SOLUTION: The graph of y=cos(x) is vertically stretched by a factor of 8, shifted a distance of 5 units to the right, and translated 7 units upward. Find a formula for the function whose g

Algebra ->  Trigonometry-basics -> SOLUTION: The graph of y=cos(x) is vertically stretched by a factor of 8, shifted a distance of 5 units to the right, and translated 7 units upward. Find a formula for the function whose g      Log On


   

Question 955575: The graph of y=cos(x) is vertically stretched by a factor of 8, shifted a distance of 5 units to the right, and translated 7 units upward.
Find a formula for the function whose graph is the resulting graph.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The graph of y=cos(x) is vertically stretched by a factor of 8, shifted a distance of 5 units to the right, and translated 7 units upward.
Find a formula for the function whose graph is the resulting graph.
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Start:: y = cos(x)
Stretched by a factor of 8:: y = 8cos(x)
Shirted 5 units to the right:: y = 8*cos(x-5)
Translated 7 upward:: y = 8*cos(x-5)+7
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Start::
graph%28400%2C400%2C-2pi%2C2pi%2C-20%2C20%2Ccos%28x%29%29
graph%28400%2C400%2C-2pi%2C2pi%2C-20%2C20%2C8%2Acos%28x-5%29%2B7%29
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Cheers,
Stan H.
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