Radical functions are similar to parabolas in that they can be transformed through vertical and horizontal shifts as well as reflections across the x-axis and y-axis. An example radical function is graphed as y = √x - 2 to demonstrate a vertical shift of -2 units. Another example function, y = 3√-(x - 1), contains a horizontal shift of 1 unit to the left, a vertical stretch by a factor of 3, and a reflection across the y-axis.

1. Radical Functions
Base graph y = √x
Works the same way as parabolas for
applying transformations
Ex. y = √x - 2

2. vertical
vertical
horizontal
reflects
in x-axis
horizontal
reflects
in y-axis
Ex. Graph y = 3√-(x - 1)
Describe the transformations in words

3. Ex. Graph y - 3 = -√2x