Algebra 2
Unit: Radical Functions
Section: Graphing Radical Functions and Domain and Range
Review Worksheet Key
1) Describe the transformation in the function f(x) = 2 3x + 3 − 7 .
Rewrite the function as f(x) = 2 3(x + 1) − 7 .
The parent function is stretched vertically by a factor of |2|, is stretched horizontally by a factor of
1
3
moves 1 unit to the left and 7 units down. (compressed horizontally by a factor of 3)
2) Describe the transformation of the function f(x) = − x + 4 + 2 .
The function is reflected across the x-axis moves 4 units to the left and 2 units up.
3) Graph the function f(x) =
x −3 + 5 .
, and
4) Graph the function f(x) = − x + 2 − 6 .
5) Find the domain and range of f(x) =
x − 3 + 4.
The function has a horizontal shift of 3 units to the right so the domain is x >= 3.
The function has a vertical shift of 4 units up so the range is y >= 4.