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28 votes
28 votes
What cosine function represents an amplitude of 2, a period of 2π, a horizontal shift of π, and a vertical shift of −1? (6 points) a f(x) = −1 cos πx + 2 b f(x) = −1 cos (x − π) + 2 c f(x) = 2 cos (x − π) − 1 d f(x) = 2 cos πx − 1

User Pedrostanaka
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3.8k points

2 Answers

16 votes
16 votes

Answer:

C. f(x) = 2 cos (x − π) − 1

Explanation:

User DGayand
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3.3k points
21 votes
21 votes

Answer:

c. f(x) = 2 cos(x − π) − 1

Explanation:

The amplitude is the multiplier of the cosine function. The vertical shift is a constant added to the cosine function. The horizontal shift is a value subtracted from x in the argument of the cosine function.

For amplitude 2, vertical shift -1, and horizontal shift π, the function will look like ...

f(x) = 2·cos(x -π) -1

What cosine function represents an amplitude of 2, a period of 2π, a horizontal shift-example-1
User Palladin
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3.0k points