Graphing Functions and Observing Behavior
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This page contains a Lab Investigation worksheet for discovering (or reinforcing) information about specific graphs.  A .pdf worksheet page is available for use in your classroom.  The use of a graphing calculator is expected.

Download a worksheet for use in your classroom.
 Investigating Specific Graphs.pdf 

Lab Sheet-Investigating Graphs (here is a glimpse of what is on the worksheet)

 

Graph the following equations using the graphing calculator. 
Use the STANDARD window (ZOOM 6).  Sketch your graphs.  
Answer the question associated with each problem. 

 
1.  Y1 = x2 
     Y2 = 4x2
     Y3 = -4x2
 

   How did the change in the x2  coefficient change the shape of the graphs?  Discuss all the changes you observed.

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What name is associated with this style of graph?
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2.  Y1 = | x | 
     Y2 = | 5x2 |
     Y3 = | - 0.5 x2 |

 How did the change in the x  coefficient change the shape of the graphs?  Discuss all the changes you observed.

_________________________

_________________________

_________________________

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 What name is associated with this style of graph?
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3.  Y1 = x  + 1
     Y2 = 3x + 1
     Y3 = 0.3x + 1

How did the change in the x  coefficient change the shape of the graphs?  Discuss all the changes you observed.

_________________________

_________________________

_________________________

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What name is associated with this style of graph?

___________________________________

 

 

4.  Y1 = 2 x 
     Y2 = 5 x 
     Y3 = 1.2 x 

How did the change in the base values change the shape of the graphs?  Discuss all the changes you observed.

_________________________

_________________________

_________________________

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What name is associated with this style of graph?

___________________________________