Exercise 9 Page 461

Start by performing a vertical translation.

Transformations of f(x)
Vertical Translations	Translation up k units, k>0 y=f(x)+ k
Vertical Translations	Translation down k units, k>0 y=f(x)- k
Horizontal Translations	Translation right h units, h>0 y=f(x- h)
Horizontal Translations	Translation left h units, h>0 y=f(x+ h)
Vertical Stretch or Compression	Vertical stretch, a>1 y= af(x)
Vertical Stretch or Compression	Vertical compression, 0< a< 1 y= af(x)
Horizontal Stretch or Compression	Horizontal stretch, 0< b<1 y=f( bx)
Horizontal Stretch or Compression	Horizontal compression, b>1 y=f( bx)
Reflections	In the x-axis y=- f(x)
Reflections	In the y-axis y=f(- x)

Hints