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What is the amplitude, period, and phase shift of f(x) = -4 sin(2x + π) - 5?
Solution:
f(x) = -4 sin(2x + π) - 5
The function is in the form f(x) = λsin(μx - Φ) + β
Where: |λ| = amplitude
2π/μ = period
Φ/μ = phase shift
So the amplitude is: |-4| = 4
The period is: 2π/2 = π
And the phase shift is: π/2
We may also note that β is the vertical shift of the function and it shift by -5 up or 5 down
What is the amplitude, period, and phase shift of f(x) = -4 sin(2x + π) - 5?
Summary:
The amplitude, period, and phase shift of f(x) = -4 sin(2x + π) - 5 are 4, π and π/2 respectively.
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