Chapter 10. 7. Glencoe Algebra 1. Graph each function, and compare to the parent graph. State the domain and range. 1. y = 2 â x. 2. y = 1. â. 2. ...

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DATE

10-1

PERIOD

Skills Practice Square Root Functions

Graph each function, and compare to the parent graph. State the domain and range. 1√ 2. y = − x

x 1. y = 2 √

3. y = 5 √x

2

y

y

y 12

4

x

0

dilation of y = √x; D = {x | x ≥ 0}, R = { y | y ≥ 0}

4. y =

√x

+1

x

0

dilation of y = √x; D = {x | x ≥ 0}, R = { y | y ≥ 0}

5. y =

√x

4

x

6. y = √ x-1

-4

y

x

0 Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

2

0

dilation of y = √x; D = {x | x ≥ 0}, R = { y | y ≥ 0}

y

y

x

0

−2

x

0

translation of y = √⎯⎯ x up 1 unit;

translation of y = √⎯⎯ x down 4 units;

translation of y = √⎯⎯ x right 1 unit;

D = {x | x ≥ 0}, R = { y | y ≥ 1}

D = {x | x ≥ 0}, R = { y | y ≥ -4}

D = {x | x ≥ 1}, R = { y | y ≥ 0}

7. y = - √ x-3 y 0

1 √ 9. y = - − x-4 + 1

8. y = √ x-2 +3

2

y

y

x

0 x

0

translation of y = √⎯⎯ x; right 3 units reflected across the x-axis; D = {x | x ≥ 3}, R = {y | y ≤ 0}

Chapter 10

x

translation of y = √⎯⎯ x right 2 units and up 3 units; D = {x | x ≥ 2}, R = {y | y ≥ 3}

7

dialation of y = √⎯⎯ x reflected across the x-axis translated right 4 units up 1 units; D = {x | x ≥ 4}, R = {y | y ≤ 1}

Glencoe Algebra 1

Lesson 10-1

8