Interactive resource
Sine Wave Graphing Tool
Functions. Interactive sine graphing tool. Adjust parameters to see amplitude, period, and phase shift — for high-school trigonometry.
Overview
Parameters of sine-type functions control amplitude, period, and horizontal shift. Dragging turns abstract transforms into motion.
Explanation
For y = A sin(ωx + φ): |A| is the amplitude (vertical stretch); T = 2π/|ω| is the period (larger |ω| means a shorter period).
The phase φ shifts the graph horizontally: relative to y = A sin(ωx), the graph moves left by φ/ω (negative φ/ω means a right shift).
Graphing order: amplitude, then period, then shift.
How to use
- Open the sine-parameters scene.
- Adjust amplitude-related controls.
- Change period, then phase, and watch the graph respond.
- Ask learners to predict before dragging.
Teaching tip
Change one parameter at a time — amplitude, then period, then phase — to avoid overload.
Knowledge points
FAQ
Which course level?
Use it when introducing trig graphs and transformations in secondary math.
Is this tool free?
Yes. It runs in the browser with no install.
Good for class demos?
Yes — project it and ask what changes when you drag a parameter.
How do I write the formula afterward?
Open the equation editor or symbol sheet and copy a clean expression.