1. Graphing Square Root Functions
ALGEBRA 1 LESSON 10-1
Find the domain of each function.
a. y = x + 5
x Make the radicand 0.
> –
x –5
> –
The domain is the set of all numbers greater than or equal to –5.
b. y = x – 12  
4x – Make the radicand 0.
> –
4x 12
> –
x 3
The domain is the set of all numbers greater than or equal to 3.
10-1

2. Graphing Square Root Functions
ALGEBRA 1 LESSON 10-1
The size of a television screen is the length of the screen’s diagonal d in inches.The equation d = 2A estimates the length of a diagonal of a television with screen area A.
Graph the function.
Domain
2A 0
A 0
> – 50
100
200
300
400 10
14.1 20
24.5
28.3
Screen
Area
(sq. in.)
Length of
Diagonal
(in.)
10-1

3. Graphing Square Root Functions
ALGEBRA 1 LESSON 10-1
Graph y = x + 4 by translating the graph of
y = x .
For the graph y = x + 4,
the graph of y = x is shifted 4 units up.
10-1

4. Graphing Square Root Functions
ALGEBRA 1 LESSON 10-1
Graph ƒ(x) = x + 3 by translating the graph of
y = x .
the graph of y = x is shifted to the left 3 units.
For the graph ƒ(x) = x + 3,
10-1

5. Graphing Square Root Functions
ALGEBRA 1 LESSON 10-1
1. Find the domain of the function ƒ(x) = 2x – 4.
2. Graph y = 3 x.
3. Graph y = x – 3.
4. Describe how to translate the graph of y = x
to obtain the graph of the function y = x – 15.
x > 2
Shift the graph to the right 15 units.
10-1