NAME
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