This document discusses radical functions and how to graph them by applying transformations to the base graph y = √x. It provides examples of vertical and horizontal shifts as well as reflections, such as y = √x - 2 which is the base graph shifted down 2 units. Another example is y = 3√-(x - 1) which is stretched by a factor of 3, shifted 1 unit to the right, and reflected over the x-axis.

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

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

3. Ex. Graph y - 3 = -√2x