Tangent Graph Calculator
Find period, phase shift, and midline of a tangent graph
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Tangent Graph Formula
y = A tan(Bx + C) + D
The tangent graph has repeating branches and vertical asymptotes. Unlike sine and cosine, tangent does not have amplitude because it is unbounded.
⚠ B must not be zero. Tangent period is π/|B|, not 2π/|B|.
How Tangent Graph Analysis Works
The coefficient B controls how often tangent repeats, C shifts the graph horizontally, and D shifts the midline vertically.
No Amplitude
Tangent is unbounded.
Phase Shift
Phase shift is -C/B.
Midline
Vertical shift is y=D.
💡 Example: For y=2tan(4x-8)+1, period=π/4, phase shift=2, midline y=1.
Applications of Tangent Graphs
Trig Graphing Asymptotes Slope Models Calculus
Frequently Asked Questions
What is a tangent graph calculator?▼
It finds key graph features of y = A tan(Bx + C) + D.
Does tangent have amplitude?▼
No. Tangent has no amplitude because its values are unbounded.
How do I use this calculator?▼
Enter A, B, C, and D from the tangent function, then click Calculate.
What is the tangent period formula?▼
The period is π/|B|.
Where are tangent graphs used?▼
They are used in trig graphing, asymptotes, slope modeling, calculus, and periodic behavior.
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