8.2 Review Worksheet (continued)
8.2.2 Radical Functions Graph each function, and identify its domain and range. 19. f x x ( ) 2 = − 20. f x x ( ) 2 1 3 = + −
21. f x
x 3 = −
( )
4
= f x x ( ) as a guide, describe the transformation and graph each function.
Using the graph of
22. g x
23. h x
24. j x
x 2 = +
x 4 = −
x ( ) 0.5 =
( )
( )
1 4 = −
25. g x
26. h x
27. h x
x 3( 5) = +
x ( ) 3 2 = − +
x
( )
( )
Use the description to write the square-root function g . 28. The parent function f x x ( ) =
is compressed vertically by a factor of 1/3 and then translated
3 units left.
29. The parent function f x
x
is reflected across the y -axis, stretched horizontally by a factor of
( ) =
6, and then translated 2 units right.
30. The parent function f x
x
is reflected across the x -axis and then translated 1 unit left and
( ) =
4 units down.
230
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