Claude by Dr. S Karna

Graph Transformations

// shifts · reflections · stretches · inverse

f(x) transforms g(x) = a·f(b(x−h))+k f⁻¹(x) inverse
⌁ Function Setup
Custom Function
f(x) =
SYNTAX GUIDE
x^2 sqrt(x) abs(x)
sin(x) cos(x) tan(x)
log(x) exp(x) PI E
e.g. sin(x)*exp(-x/4)
Inverse Function
Show f⁻¹(x) reflect over y = x
Preset Functions
Transformations g(x)
Horizontal Shift (h) 0
f(x − h) → right / left
Vertical Shift (k) 0
f(x) + k → up / down
Vertical Scale (a) 1
a·f(x) → stretch / reflect
Horizontal Scale (b) 1
f(b·x) → compress / reflect
BASE f(x) = x
TRANSFORM g(x) = 1·f(1·(x − 0)) + 0
Base f(x)
Transformed g(x)