02 Square Root & nth Root Functions.notebook
February 19, 2014
Homework:
Worksheet 6-2
Quiz Next Class!!
Homework Graph:
x
y
Feb 17­4:51 PM
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02 Square Root & nth Root Functions.notebook
February 19, 2014
Square Root Functions
Square Root Functions
Use a graphing calculator to graph the
following. Make a note of how the graph
changed from the parent function.
1.
2. 3.
4.
5.
6.
7.
8. 9. Transformations of the Square Root graph
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02 Square Root & nth Root Functions.notebook
February 19, 2014
What did adding/subtracting a number INSIDE the radical do to the graph?
• The "-4" moved the graph to the right 4 units
• The "+2" moved the graph to the left 2 units
• Conclusion:
The number INSIDE the radical moves the
graph left (if # is positive) or right (if # is
negative) that many units
Number added/subtracted INSIDE radical
What did adding/subtracting a number OUTSIDE the radical do to the graph?
• The "+3" moved the graph up 3 units
• The "-1" moved the graph down 1 unit
• Conclusion:
The number OUTSIDE the radical moves the
graph up (if # is positive) or down (if # is
negative) that many units
Number added/subtracted OUTSIDE radical
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02 Square Root & nth Root Functions.notebook
February 19, 2014
What did adding/subtracting a number INSIDE and OUTSIDE the radical do to the graph?
• The # INSIDE moved the graph left or right
(change the sign)
• The # OUTSIDE moved the graph up or down
• Conclusion:
Change the sign of the number inside to
determine how much to move left or right.
The number outside is how much to move
up or down (do NOT change the sign)
Numbers Inside AND Outside the Radical
What did multiplying the radical by a scalar do to the graph?
• The "3" made the graph rise faster
• The "-2" flipped the graph and also made the
graph rise faster
• The "1/3" made the graph "flatter"
• Conclusions:
1. A negative sign "flips" the graph
2. A big number makes the graph rise faster
3. A small number makes the graph flatter
Multiplying Radical by a Scalar
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02 Square Root & nth Root Functions.notebook
February 19, 2014
"h, k" General Form
h, k General Form
Describe the Transformations, then Graph
Direction: down
Width: steep
Starting Point: (-7,9)
Solid or Dotted?
Dotted, then Color
x y
-7
-6
-3
2
9
9
6
3
0
-3
Radical Inequality
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02 Square Root & nth Root Functions.notebook
February 19, 2014
Which is the graph of ?
D.
Choose the Graph
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