# Quick Access

# Introduction

If we understand the Linear and Translate functions above,
we may imagine what could be the scaling function :
instead of playing with additions, **we will play with multiplication factors to
stretch or compress our mathematical object**.
Please note that a scale is a non-rigid transformation :
it alters the shape and size of the graph function.

**We can stretch or compress it in the y-direction by multiplying
the whole function by a constant**:

$$f(x) → a * f(x)$$

**We can stretch or compress it in the x-direction
by multiplying the function variable x by a constant**:

$$f(x) → f(b * x)$$

Putting it together :

$$\textbf{f(x) → a * f(b * x)}$$

I am sure we can now imagine why bigger b value causes more compression on the x-scale.

We could say : we put more information within the same base unit.