NAME
DATE
10-1
PERIOD
Practice
Square Root Functions
Graph each function, and compare to the parent graph. State the domain
and range.
4√
x
1. y = −
2. y =
3
√x
y
y
x
0
3. y = √
x-3
+2
dilation of y = √
x;
D = {x | x ≥ 0},
R = {y | y ≥ 0}
y
x
0
translation of y = √
x
up 2 units;
D = {x | x ≥ 0},
R = {y | y ≥ 2}
5. y = 2 √
x-1 + 1
4. y = - √x + 1
y
x
0
translation of y = √
x
right 3 units;
D = {x | x ≥ 3},
R = {y | y ≥ 0}
6. y = - √
x-2 + 2
y
y
x
x
0
x
translation of y = √
up 1 unit reflected
in the x-axis;
D = {x | x ≥ 0},
R = {y | y ≤ 1}
dilation of y = √
x
translated up 1 unit
and right 1 unit;
D = {x | x ≥ 1},
R = {y | y ≥ 1}
translation of y = √
x
up 2 units and right
2 units, reflected
in the x-axis;
D = {x | x ≥ 2},
R = {y | y ≤ 2}
7. OHM’S LAW In electrical engineering, the resistance of a circuit
P
−
, where I is the current in
can be found by the equation I = √R
amperes, P is the power in watts, and R is the resistance of
the circuit in ohms. Graph this function for a circuit with a
resistance of 4 ohms.
5
4
3
2
1
0
Chapter 10
8
20 40 60 80 100
Power (watts)
Glencoe Algebra 1
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
x
0
Current (amperes)
0