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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.