Lesson # 5: Combinations

Combinations:                       *Reflections, Shifts and Dilations*

If you have a dilation or reflection with a translation => FACTOR IT!

Example:                   *Factor only if needed*
y = *root*(2x) which makes it... horizontally compress 1/2x
y = *root*(2x+6) but you would factor it out, which makes it... y = *root*(2(x+6))

*Do stretch and reflections first then do the slides*

List the transformations:

y = 1/2f(-3(x+1))-4          
   
      Vert.                      Hor.
comp by 1/2x      reflect over y-axis
    down 4              comp by 1/3x
                                    left 1