Amplitude Calculator
Find the amplitude of y = A·sin(Bx + C) + D and describe the full wave properties.
Inputs
Amplitude
3.000000
Maximum y-value
3.000000
Minimum y-value
-3.000000
Period
6.283185
Phase shift
-0.000000
Vertical shift (D)
0.0000
Step by step
Amplitude formula
|A| = |3|
= 3
Maximum value
D + |A| = 0 + 3
= 3
Minimum value
D − |A| = 0 − 3
= -3
Period
2π/|B| = 2π/|1|
= 6.28318531
How it works
The amplitude of y = A·sin(Bx + C) + D is |A| — the distance from the midline (y = D) to the peak. The wave oscillates between D − |A| and D + |A|.
Formula
Amplitude
Amplitude = |A|
- A
- Coefficient of the trig function
- D
- Vertical shift (midline)
Frequently Asked Questions
Can amplitude be negative?
No — amplitude is always |A|, a non-negative number. A negative A flips the wave vertically but doesn't change the amplitude.
How does amplitude relate to the wave height?
The total peak-to-trough height is 2·|A|. Amplitude is half of that — the distance from the midline to a peak.