# Function Transformations

- Author:
- Mark Beckwith

**We often explore four types of function translations: reflections across the x-axis, vertical stretches, horizontal shifts, and vertical shifts. For a function f(x), a translated function g(x) often takes the form g(x)=a f(x+b)+c. Explore the following functions, using the appropriate sliders, to determine how the values of a, b, and c define function translations for many functions.**

**1) Define a in terms of the four function translations mentioned above.**

**2) Define b in terms of the four function translations mentioned above.**

**3) Define c in terms of the four function translations mentioned above.**