What is the period of y=3cos(x-7)+2 ? Give an exact value. units

Identify function and period: Identify the basic function and its period. The basic function here is cos(x), which has a period of 2π.Coefficient of x: Determine if the coefficient of x affects the period. The coefficient of x inside the cosine function is 1 (since it's (x-7), equivalent to 1*(x-7)). This does not affect the period of the cosine function.Other factors affecting period: Determine if there are any other factors that affect the period. The function y=3cos(x-7)+2 has a vertical stretch factor of 3 and a vertical shift of +2, but these do not affect the period of the function. The horizontal shift of -7 also does not affect the period.Conclude the period: Conclude the period of the given function. Since the period of the basic cosine function is 2π and there are no factors in y=3cos(x-7)+2 that affect the period, the period of the given function is also 2π.

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What is the period of
y=3cos(x-7)+2 ?
Give an exact value.
units

What is the period of $y=3 \cos (x-7)+2$ ? $\newline$ Give an exact value. $\newline$ units

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Q. What is the period of

y=3 \cos (x-7)+2

\newline

Give an exact value.

\newline

units

Identify function and period: Identify the basic function and its period. $\newline$ The basic function here is $\cos(x)$ , which has a period of $2\pi$ .
Coefficient of $x$ : Determine if the coefficient of $x$ affects the period. $\newline$ The coefficient of $x$ inside the cosine function is $1$ (since it's $(x-7)$ , equivalent to $1\times(x-7)$ ). This does not affect the period of the cosine function.
Other factors affecting period: Determine if there are any other factors that affect the period. $\newline$ The function $y=3\cos(x-7)+2$ has a vertical stretch factor of $3$ and a vertical shift of $+2$ , but these do not affect the period of the function. The horizontal shift of $-7$ also does not affect the period.
Conclude the period: Conclude the period of the given function. $\newline$ Since the period of the basic cosine function is $2\pi$ and there are no factors in $y=3\cos(x-7)+2$ that affect the period, the period of the given function is also $2\pi$ .