What is the periodicity of f(x)=-3sin(x-pi/4)+2 ?

The periodicity of f(x)=-3sin(x-pi/4)+2 is 2pi

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periodicity of f(x)=-3sin(x-pi/4)+2

periodicity

f (x) = - 3 sin (x - \frac{π}{4}) + 2

2 π

Solution steps

Periodicity of

a \cdot sin (b x + c) + d = \frac{periodicity of sin ( x )}{∣ b ∣}

Periodicity of

sin (x)

2 π

= \frac{2 π}{∣ 1 ∣}

Simplify

= 2 π

f (x) = \frac{3 x - 5}{x}

f (x) = x + \frac{1}{x - 1}

2 x^{3} - 6 x

f (x) = \frac{5 x + 7}{4 x - 5}

x^{2} + 4

What is the periodicity of f(x)=-3sin(x-pi/4)+2 ?
The periodicity of f(x)=-3sin(x-pi/4)+2 is 2pi