Square Root Part 1

Enter a = 1, h = 0, k = 0   
Click Graph, then Click Store.
Use this graph to compare 

1 . Enter a = 1, h = 0, k = -2 
Predict which way the graph will SHIFT?
Up Left None
Down

Right
Now click Graph.

2. Enter a = 1, h = 0, k = 1 
Predict which way the graph will SHIFT?
Up Left None
Down

Right
Now click Graph.

3. Enter a = 1, h = 0, k = -5/2 
Predict which way the graph will SHIFT?
Up Left None
Down

Right
Now click Graph.
Square Root Part 2

Enter a = 1, h = 0, k = 0   
Click Graph, then Click Store.
Use this graph to compare 

1 . Enter a = 1, h = 3, k = 0 
Predict which way the graph will SHIFT?
Up Left None
Down

Right
Now click Graph.

2. Enter a = 1, h = -1, k = 0 
Predict which way the graph will SHIFT?
Up Left None
Down

Right
Now click Graph.

3. Enter a = 1, h = 5/3, k = 0 
Predict which way the graph will SHIFT?
Up Left None
Down

Right
Now click Graph.
Square Root Quick Quiz
Without graphing predict which way the graph will shift from 
  

 1.  
Predict which way the graph will SHIFT?
Up 2 Left 2 None
Down 2

Right 2
Verify with grapher on the left.

 2.  

Predict which way the graph will SHIFT?
Up 3 Left 3 None
Down 3

Right 3
Verify with grapher on the left.

 3. 

Predict which way the graph will SHIFT?
Up 3 Left 3 None
Down 3

Right 3
Verify with grapher on the left.

 4.  

Predict which way the graph will SHIFT?
Up 1 Left 1 None
Down 1

Right 1
Verify with grapher on the left.
Square Root Part 3

Enter a = 1, h = 0, k = 0   
 
Click Graph, then Click Store.
Use this graph to compare 

1 . Enter a = 1/3, h = 0, k = 0 
Predict which way the graph will CHANGE?
Vertical Shrink - widen None
Vertical Stretch - narrow
Now click Graph.

2. Enter a = 3, h = 0, k = 0 
Predict which way the graph will CHANGE?
Vertical Shrink - widen None
Vertical Stretch - narrow
Now click Graph.

3. Enter a = -2, h = 0, k = 0 
Predict which way the graph will CHANGE?
Reflect across  x -axis None
Reflect across  y -axis
Now click Graph.

4. Enter a = 1/10, h = 0, k = 0
 

Predict which way the graph will CHANGE?
Vertical Shrink - widen None
Vertical Stretch - narrow
Now click Graph.

5. Enter a = -1, h = 0, k = 0 
Predict which way the graph will CHANGE?
Reflect across  x -axis None
Reflect across  y -axis
Now click Graph.
Square Root Altogether
Predict the following shifting, then verify using grapher.

Tutorials and Applets by
Joe McDonald
Community College of Southern Nevada