1. Worksheet Key
1/1/2019 8:06 AM
6.2: Square Root Graphs

2. Worksheet Key
1/1/2019 8:06 AM
6.2: Square Root Graphs

3. Worksheet Key
1/1/2019 8:06 AM
6.2: Square Root Graphs

4. 1/1/2019 8:06 AM
6.2: Square Root Graphs

5. Square Root Graphs
1/1/2019 8:06 AM
6.2: Square Root Graphs

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

7. Steps Make a table and plug in solid points OR apply the translations
It might be easier to solve for f(x), instead of x
Go Backwards
Plot and graph points
Identify the Domain and Range in Interval Notation
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6.2: Square Root Graphs

8. Example 1
Using the graph, f(x) = √x, as a guide, describe the transformation, identify the domain and range, and graph the function,
g(x)
Domain:
Range:
g(x) translates 4 units right
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6.2: Square Root Graphs

9. Example 2
Using the graph, f(x) = √x, as a guide, describe the transformation, identify the domain and range, and graph the function,
g(x)
Domain:
g(x) translates 4 units down
Range:
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6.2: Square Root Graphs

10. Your Turn
Using the graph, f(x) = √x, as a guide, describe the transformation, identify the domain and range, and graph the function,
g(x)
Domain:
g(x) translates 5 units left and 5 units down
Range:
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6.2: Square Root Graphs

11. Example 3
Using the graph, f(x) = √x, as a guide, describe the transformation, identify the domain and range, and graph the function,
g(x)
Domain:
g(x) translates 1 units left and stretched by 2
Range:
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6.2: Square Root Graphs

12. Example 4
The parent function, f(x) = √x, is stretched horizontally by a factor of 2, reflected across the y-axis, and translated 3 units left.
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6.2: Square Root Graphs

13. Example 5
The parent function, f(x) = √x, is reflected across the x-axis, compressed vertically by a factor of 1/5, and translated 5 units down.
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6.2: Square Root Graphs

14. Your Turn
The parent function, f(x) = √x, is stretched vertically by a factor of 4 and then translated 5 units left and 2 units down.
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6.2: Square Root Graphs

15. Example 6
A framing store uses the function to determine the cost c in dollars of glass for a picture with an area a in square inches. The store charges an additional $6.00 in labor to install the glass. Write the function d for the total cost of a piece of glass, including installation, and use it to estimate the total cost of glass for a picture with an area of 144 in2.
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6.2: Square Root Graphs

16. Example 6 Step 1 To increase c by 6.00, add 6 to c.
A framing store uses the function to determine the cost c in dollars of glass for a picture with an area a in square inches. The store charges an additional $6.00 in labor to install the glass. Write the function d for the total cost of a piece of glass, including installation, and use it to estimate the total cost of glass for a picture with an area of 144 in2.
Step 1 To increase c by 6.00, add 6 to c.
Step 2 Find a value of d for a picture with an area of 144 in2.
The cost for the glass of a picture with an area of 144 in2 is about $12.20 including installation.
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6.2: Square Root Graphs

17. Assignment
Worksheet
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6.2: Square Root Graphs