Find amplitude, period, phase shift, and midline of a sine graph
Result
Sine Graph Features
Step-by-Step Derivation
Sine Graph Formula
y = A sin(Bx + C) + D
The standard sine graph form shows how each coefficient changes the wave. A controls amplitude, B controls period, C controls horizontal shift, and D controls midline.
⚠B must not be zero. This calculator reports period in radians because the standard graph formula uses radian input.
How Sine Graph Analysis Works
A sine graph is a repeating wave. Reading A, B, C, and D from the equation gives the main graph transformations.
Amplitude
Amplitude is |A|.
Period
Period is 2π/|B|.
Phase Shift
Phase shift is -C/B.
Midline
Midline is y=D.
💡 Example: For y=2sin(3x-6)+1, amplitude=2, period=2π/3, phase shift=2, midline y=1.
Applications of Sine Graphs
Wave ModelingTrig GraphingSoundTides
Frequently Asked Questions
What is a sine graph calculator?▼
It finds key graph features of y = A sin(Bx + C) + D.
What does it calculate?▼
It calculates amplitude, period, phase shift, and midline.
How do I use this calculator?▼
Enter A, B, C, and D from the sine function, then click Calculate.
What is the sine period formula?▼
The period is 2π/|B|.
Where are sine graphs used?▼
They are used for waves, sound, tides, oscillations, and trigonometry graphing.
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