Transformations
\( y = \) \( \pm a \) \( f[ \) \( \pm b \) \( ( \) \( x \pm h \) \( ) ] \) \( \pm k \)
| Vertical Reflection & Dilation \(a < 0\): reflect x-axis \(|a| < 1\): vertical compression \(|a| > 1\): verticle stretch |
Horizontal Reflection & Dilation \(b < 0\): reflect y-axis \(|b| < 1\): vertical compression \(|b| > 1\): virtical stretch |
Horizontal Shift \( -h \): right \( +h \): left |
Vertical Shift \(-k \): down \(+k \): up |
