Find secant graph period, phase shift, and midline
Result
Secant Graph Features
Step-by-Step Derivation
Secant Graph Formula
y = A sec(Bx + C) + D
A secant graph is the reciprocal of a cosine graph. It has vertical branches and asymptotes, so the key features are vertical stretch, period, phase shift, and midline.
⚠B must not be zero. Secant does not have amplitude because the graph is unbounded.
How Secant Graph Analysis Works
The coefficient B controls the period, C controls horizontal shift, D controls the midline, and A controls vertical stretch and reflection.
No Amplitude
Secant is unbounded.
Period
Period is 2π/|B|.
Phase Shift
Phase shift is -C/B.
Midline
Midline is y=D.
💡 Example: For y=2sec(3x-6)+1, stretch=2, period=2π/3, phase shift=2, midline y=1.
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