# Transformations

• May 9th 2010, 04:17 PM
RogueDemon
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.
• May 9th 2010, 06:21 PM
mr fantastic
Quote:

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.