Applying Transformations to Absolute Value Parent Function
Order of Transformations
The best order in which to apply a series of transformations is
1. Stretches/Compressions
2. Reflections
3. Translations
Vertex Form of an Absolute Value Function
Vertex form of an absolute value function is given by
where
a = Vertical Stretch/Compression
b = Horizontal Stretch/Compression
k = Vertical Translation
h = Horizontal Translation
Graph #1
Use the sliders in the activity above to graph the function Describe the series of transformations, in order, that map the parent function to our function g
Graph #2
Use the sliders in the activity above to graph the function Describe the series of transformations, in order, that map the parent function to our function g
Graph #3
Use the sliders in the activity above to graph the function Describe the series of transformations, in order, that map the parent function to our function g
Graph #4
Use the sliders in the activity above to graph the function Describe the series of transformations, in order, that map the parent function to our function g