🌊 Sine Wave Explorer

Adjust the sliders to see how Amplitude, Frequency, Phase Shift, and Vertical Shift visually transform a trigonometric wave!

Standard Form: y = A × sin(B × x − C) + D
y = 1sin(1x − 0) + 0
π 2π 3π
Amplitude (A)
1
Frequency (B)
1
Phase Shift (C)
0
Vert. Shift (D)
0

🧠 Mathematical Observations

  • Amplitude (A): Controls how "tall" the wave is. It measures the distance from the center dashed line to the highest peak.
  • Frequency (B): Controls how many wave cycles happen in a given space. A higher number squishes the wave together like an accordion.
  • Phase Shift (C): Slides the entire wave left or right along the X-axis.
  • Vertical Shift (D): Elevates or drops the entire wave. Notice how the dashed center line moves up and down!