# Math Help - Transformations

1. ## Transformations

State the transformations:
$f(x) = x^2$
$g(x) = 9x^2$

Vertical Expansion by $9$ OR Horizontal Compression by $\frac{1}{9}$.

Vertical Expansion by $9$ OR Horizontal Compression by $\frac{1}{3}$.

Just wondering, how is the compression factor $\frac{1}{3}$? Is it because $9x^2 = (3x)^2$, therefore $3x =$Horizontal Compression by $\frac{1}{3}$?

Also, is a Horizontal Compression by $\frac{1}{3}$ the same thing as a Horizontal Expansion by $3$? The terms "Expansion" and "Compression" become quite confusing when used with whole numbers and fractions. It's hard to remember which one refers to which.

2. Originally Posted by RogueDemon
State the transformations:
$f(x) = x^2$
$g(x) = 9x^2$

Vertical Expansion by $9$ OR Horizontal Compression by $\frac{1}{9}$.
Vertical Expansion by $9$ OR Horizontal Compression by $\frac{1}{3}$.
Just wondering, how is the compression factor $\frac{1}{3}$? Is it because $9x^2 = (3x)^2$, therefore $3x =$Horizontal Compression by $\frac{1}{3}$?
Also, is a Horizontal Compression by $\frac{1}{3}$ the same thing as a Horizontal Expansion by $3$? The terms "Expansion" and "Compression" become quite confusing when used with whole numbers and fractions. It's hard to remember which one refers to which.