Algebra 2 Companion Book, Volume 2

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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