What is the periodicity of f(x)=4sin(1/4 pix-pi)-3 ?

The periodicity of f(x)=4sin(1/4 pix-pi)-3 is 8

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periodicity of f(x)=4sin(1/4 pix-pi)-3

periodicity

f (x) = 4 sin (\frac{1}{4} π x - π) - 3

8

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}{\frac{π}{4}}

Simplify

= 8

3 sin (π x + 5) - 4

f (x) = e^{x} - 1

y = 2 x - 3

3 x^{3} - 2 x^{2} - 5 x + 4

What is the periodicity of f(x)=4sin(1/4 pix-pi)-3 ?
The periodicity of f(x)=4sin(1/4 pix-pi)-3 is 8