# Transformations

• May 9th 2010, 03:17 PM
RogueDemon
Transformations
State the transformations:
$\displaystyle f(x) = x^2$
$\displaystyle g(x) = 9x^2$

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

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

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

Also, is a Horizontal Compression by $\displaystyle \frac{1}{3}$ the same thing as a Horizontal Expansion by $\displaystyle 3$? 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, 05:21 PM
mr fantastic
Quote:

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

Vertical Expansion by $\displaystyle 9$ OR Horizontal Compression by $\displaystyle \frac{1}{9}$.
Vertical Expansion by $\displaystyle 9$ OR Horizontal Compression by $\displaystyle \frac{1}{3}$.
Just wondering, how is the compression factor $\displaystyle \frac{1}{3}$? Is it because $\displaystyle 9x^2 = (3x)^2$, therefore $\displaystyle 3x =$Horizontal Compression by $\displaystyle \frac{1}{3}$?
Also, is a Horizontal Compression by $\displaystyle \frac{1}{3}$ the same thing as a Horizontal Expansion by $\displaystyle 3$? 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.