Practice and Problem-Solving Exercises

A Practice

See Problems 1 and 2.

Graph each function.

7. y = x + 1 y equals square root of x plus 1
8. y = x − 2 y equals square root of x minus 2
9. y = x − 4 y equals square root of x minus 4
10. y = x + 5 y equals square root of x plus 5
11. y = x − 3 y equals , square root of x minus 3 end root
12. y = x + 1 y equals , square root of x plus 1 end root
13. y = x + 6 y equals , square root of x plus 6 end root
14. y = x − 4 y equals , square root of x minus 4 end root

See Problem 3.

Graph each function.

15. y = 3 x y equals 3 square root of x
16. y = − x − 1 y equals negative , square root of x minus 1 end root
17. y = − 5 x + 2 y equals negative 5 , square root of x plus 2 end root
18. y = − 0.5 x + 3 y equals negative 0.5 , square root of x plus 3
19. y = 1 2 x + 2 − 1 y equals , 1 half . square root of x plus 2 end root , minus 1
20. y = 3 x + 1 + 4 y equals 3 , square root of x plus 1 end root , plus 4

See Problem 4.

Solve each square root equation by graphing. Round the answer to the nearest hundredth, if necessary. If there is no solution, explain why.

21. x − 3 = 12 square root of x minus 3 end root , equals 12
22. 2 x − 3 = 4 square root of 2 x minus 3 end root . equals 4
23. 2 x + 5 = 2 − x square root of 2 x plus 5 end root . equals , square root of 2 minus x end root

24. Landscaping A sprinkler can water between 1 and 130 square yards of a lawn. The length L in inches of rotating pipe needed to water A square yards is given by the function L = 117.75 A . l equals , 117.75 , square root of eh .

    1. Graph the equation on your calculator. Make a sketch of the graph.
    2. How much area can be watered if the length of the pipe is 500, 800, or 1,300 inches long?

See Problem 5.

Graph each function.

25. y = x + 5 3 y equals . cube root of x plus 5 end root ,
26. y = x 3 − 4 y equals , cube root of x , , minus 4
27. y = x + 2 3 − 7 y equals . cube root of x plus 2 end root , . minus 7
28. y = − x + 3 3 − 1 y equals negative . cube root of x plus 3 end root , . minus 1
29. y = 2 x − 6 3 − 9 y equals 2 . cube root of x minus 6 end root , . minus 9
30. y = 1 2 x − 1 3 + 3 y equals , 1 half . cube root of x minus 1 end root , . plus 3

See Problem 6.

Rewrite each function to make it easy to graph using transformations of its parent function. Describe the graph.

31. y = 9 x − 9 y equals . square root of 9 x minus 9 end root
32. y = − 16 x + 32 y equals negative . square root of 16 x plus 32 end root
33. y = − 2 4 x + 16 y equals negative 2 . square root of 4 x plus 16 end root
34. y = 64 x + 128 3 y equals . cube root of 64 x plus 128 end root ,
35. y = 25 x + 125 − 3 y equals . square root of 25 x plus 125 end root . minus 3
36. y = 8 x − 24 3 + 1 y equals . cube root of 8 x minus 24 end root , . plus 1

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