# Transformations

#### 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.

#### mr fantastic

MHF Hall of Fame
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.