Name:
Period:
Date:
Algebra 2 – Worksheet – Graphing Radical Functions
Radical Functions are of the form f ( x) a bx c d .
To graph a radical function, we will use tables for the most part. The biggest challenge is to find
the x-values to pick. You want to find convenient x-values that lie in the domain of the function.
The Domain of f ( x) a bx c d is bx c 0 .
The parent function for a radical equation is f ( x)
x.
This parent function can be stretched, shifted and flipped
similarly to a quadratic function f ( x)
a bx c
2
d.
a : The vertical stretch or flip.
bx c : The horizontal position (stretch or shift).
d : The vertical shift.
Complete the following tables and graph each function.
1.
f ( x) 3 x
x
Domain: x 0
3 x
y
0
1
4
9
2.
f ( x)
x
0
1
4
9
x
Domain: x 0
x
y
3.
f ( x)
x 3
x
Domain:
x 3
x 3 0
x
3
y
-3
-2
1
6
v
4.
f ( x)
2x
x
Domain:
2x
2x 0
x 0
y
0
1
2
-2
9
2
5.
f ( x)
x
0
1
4
9
x 6
Domain: x 0
x 6
y
Name:
Key
Period:
Date:
Algebra 2 – Worksheet – Graphing Radical Functions
Radical Functions are of the form f ( x) a bx c d .
To graph a radical function, we will use tables for the most part. The biggest challenge is to find
the x-values to pick. You want to find convenient x-values that lie in the domain of the function.
The Domain of f ( x) a bx c d is bx c 0 .
The parent function for a radical equation is f ( x)
x.
This parent function can be stretched, shifted and flipped
similarly to a quadratic function f ( x)
a bx c
2
d.
a : The vertical stretch or flip.
bx c : The horizontal position (stretch or shift).
d : The vertical shift.
Complete the following tables and graph each function.
1.
2.
f ( x) 3 x
Domain: x 0
x
3 x
y
0
3 0
0
1
3 1
3
4
3 4
6
9
3 9
9
f ( x)
x
Domain: x 0
x
x
y
0
0
0
1
1
-1
4
4
-2
9
9
-3
3.
f ( x)
x 3
Domain:
x 3 0
x
3
x
x 3
y
-3
3 3
0
-2
2 3
1
1
1 3
2
6
6 3
3
v
4.
f ( x)
2x
2x 0
x 0
x
2x
y
0
2(0)
0
1
2
1
2( 2)
2
9
2
3
1
2
2
-2
9
2
5.
Domain:
f ( x)
2
x 6
Domain: x 0
x
x 6
y
0
0 6
-6
1
1 6
-5
4
4 6
-4
9
9 6
-3