1.2. Graphical Transformations http://www.ck12.org
In order to figure out the horizontal components of the transformation, start by factoring the inside of the parentheses
(the argument):
f(−^12 x− 1 )=f(−^12 (x+ 2 ))
Factoring reveals a reflection across the y axis, a horizontal shift left 2 units and a horizontal stretch by a factor of
2.Below is an image of the same function going through the horizontal transformations.
Concept Problem Revisited
1)f(x)→f(x+ 3 )
This transformation shifts the entire graph left 3 units. A common misconception is to shift right because the three
is positive.
2)h(x)→h(x)− 5