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vera_ewing
 one year ago
What cosine function represents an amplitude of 3, a period of π, no horizontal shift, and a vertical shift of 2?
vera_ewing
 one year ago
What cosine function represents an amplitude of 3, a period of π, no horizontal shift, and a vertical shift of 2?

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Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3hint: the amplitude of your function is 2, since we have: \[  2 \leqslant 2\cos \left( {\pi x} \right) \leqslant 2\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3the requested function is like below: \[y = A\cos \left( {\frac{\pi }{k}} \right) + h\] where A is the amplitude, h is the vertical shift, and k is such taht the period of that function is: \[T = \frac{{2\pi }}{k}\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3that is the general formula, for your exercise

vera_ewing
 one year ago
Best ResponseYou've already chosen the best response.0So it's going to have to start out as f(x)= 3cos right?

vera_ewing
 one year ago
Best ResponseYou've already chosen the best response.0And the last part of the equation will be +2?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3oops.. I have made a typo, here is the right formula: \[y = A\cos \left( {\frac{x}{k}} \right) + h\]

vera_ewing
 one year ago
Best ResponseYou've already chosen the best response.0f(x) = 3 cos 2x + 2 ?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3yes! that's right!

vera_ewing
 one year ago
Best ResponseYou've already chosen the best response.0Thank you, Michele! :)
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