Name: ___________________________________________________ Period: ______ 10.1 Graph Square Root Functions Worksheet
Match the function with its graph.
1. y = x + 4 − 3 ____
2. y = x − 3 + 4 ____
3. y = x − 4 + 3 ____
4. y = x − 4 − 3 ____
5. y = x + 3 − 4 ____
6. y = x + 3 + 3 ____
Graph the square root functions. Then state the domain and range. Then compare it to the
parent function y = x .
7. y = x +1 − 4
endpoint: _______
8. y = − x + 3
domain:
domain:
___________
___________
range:
range:
___________
___________
comparison:
endpoint: _______
comparison:
9. y =
1
x −1
3
endpoint: _______
ANSWERS:
1. E 2. C 3. A 4. F 5. B 6. D
domain:
___________
range:
___________
comparison:
10. y = 3 x + 4 − 2
endpoint: _______
domain:
___________
7. endpoint: (–1, –4)
domain: x ≥ –1
range: y ≥ –4
comparison:
–horizontal translation left 1 unit
–vertical translation down 4 units
8. endpoint: (0, 3)
domain: x ≥ 0
range: y ≤ 3
comparison:
–reflection over the x–axis
–vertical translation up 3 units
9. endpoint: (1, 0)
domain: x ≥ 1
range: y ≥ 0
comparison:
1
–vertical shrink by a factor of /3
–horizontal translation right 1 unit
10. endpoint: (–4, –2)
domain: x ≥ –4
range: y ≥ –2
comparison:
–vertical stretch by a factor of 3
–horizontal translation left 4 units
–vertical translation down 2 units
range:
___________
comparison:
11. endpoint: (–5, 0)
domain: x ≥ –5
range: y ≤ 0
comparison:
–reflection over the x–axis
–vertical stretch by a factor 2
–horizontal translation left 5 units
11. y = −2 x + 5
endpoint: _______
comparison:
domain: ___________
range: ___________