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Algebra2D

Functions and Graphs - Theory & Concepts - Function Transformations

Introduction to functions, domain and range, inverse functions, piecewise functions, and symmetry.

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Function Transformations

General Form: g(x)=af(b(xh))+kg(x) = a \cdot f(b(x - h)) + k

g(x)=x2g(x) = x^2

Scaling & Reflection

a (Vertical Stretch)1
b (Horizontal Stretch)1

Translations

h (Horizontal Shift)0
k (Vertical Shift)0
Original: f(x)=x2f(x) = x^2
Transformed: g(x)g(x)
xy