Warm Up
Make a table of values and graph.
y = √x
x
y
Unit 10.1 Square Root Functions
Learning Targets: 1. Graph and analyze dilations of radical functions.
2. Graph and analyze reflections and translations of radical functions.
https://www.mathsisfun.com/data/function­grapher.php
Dilation
f(x) = a√x
(above x­axis)
(0, 0) and (1, a )
Then plot one more point: (4, ____ )
Domain:
Range:
Reflection
f(x) = ­ a√x
(below x­axis)
(0, 0) and (1, ­ a )
Then plot one more point: (4, ____ )
Domain:
Range:
Translations
f(x) = √x + k
Translates the graph
k units up or down
Domain:
(range)
Range:
Translations
f(x) = √(x­h) Translates the graph
h units right or left
Domain:
(domain)
Range: