Download Name: Date: Period:____ A12 Graphing Square Root Functions Gra

Name:_________________________________________________
A12 Graphing Square Root Functions
Date:_________________
Period:____
Graph each square root function. Then list the transformations as compared to the parent function, and the domain and
range in interval notation.
1.
𝑦 = √𝑥 − 1 + 3
Transformations:____________________________________________
Domain:____________
Range:_________
2. 𝑦 = 4√𝑥
Transformations:____________________________________________
Domain:____________
Range:_________
3. 𝑦 = −√𝑥 − 2
Transformations:____________________________________________
Domain:____________
Range:_________
1
4. 𝑦 = √−(𝑥 + 3)
2
Transformations:____________________________________________
Domain:____________
5.
Range:_________
Use the graph from problem 1 to find the maximum and minimum on the interval [2,5]
6. Use the graph from problem 3 to find the maximum and minimum on the interval [0,4]
7. 𝑦 = √2𝑥 − 1
Transformations:____________________________________________
Domain:____________
Range:_________
8. 𝑦 = −√−𝑥
Transformations:____________________________________________
Domain:____________
Range:_________
9. 𝑦 = √−𝑥 + 3
Transformations:____________________________________________
Domain:____________
Range:_________
1
2
10. 𝑦 = √ (𝑥 − 1)
Transformations:____________________________________________
Domain:____________
Range:_________
11. Use the graph from problem 9 to find the maximum and minimum on the interval [-4,0]
12. Write the equation for the graph shown.
13. Write the equation for the graph shown.