1. SQUARE ROOT Functions Radical functions
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8-7: Square Root Graphs

2. Review
A radical function is a function whose rule is a radical expression, which include the square-root function,
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8-7: Square Root Graphs

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8-7: Square Root Graphs

4. EXAMPLE 1 Graph each function and identify its domain and range of x
g(x)
Range:
Domain:
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8-7: Square Root Graphs

5. EXAMPLE 2
Using the graph, f(x) = , as a guide, describe the transformation, identify the domain and range, and graph the function,
Domain:
g(x)
Range:
g(x) translates 4 units right
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8-7: Square Root Graphs

6. EXAMPLE 3 g(x) translates 4 units down
Using the parent function as a guide, describe the transformation, identify the domain and range, and graph the function,
Domain:
Range:
g(x)
g(x) translates 4 units down
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8-7: Square Root Graphs

7. Your Turn
Using the parent function as a guide, describe the transformation, identify the domain and range, and graph the function,
Range:
Domain:
g(x) translates 5 units left and 5 units down
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8-7: Square Root Graphs

8. Your Turn Graph each function and identify its domain and range of
g(x) translates 1 unit right, 3 units up and stretches by a factor of 2
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8-7: Square Root Graphs

9. Example 3: Applying Multiple Transformations
Using the graph of as a guide, describe the transformation from f to g . •
Reflect f across the x-axis, and translate it 4 units to the right.