Click here to load reader

Activity: Graphing Absolute Value Functionsmrkuhlthau.weebly.com/uploads/9/4/4/2/9442708/graph_abs... · 2018. 10. 13. · Graphing Absolute Value functions on a TI83: You can find

  • View
    0

  • Download
    0

Embed Size (px)

Text of Activity: Graphing Absolute Value...

  • 1

    Activity: Graphing Absolute Value Functions

    With a partner, complete the 2.8 Graphing Absolute Value Functions Activity.

    You will need:• A partner• Activity sheet• Pencil• Graphing calculator

  • 2

    1. Graph    using the following table of values

    x y

    2

    10

    1

    2

    Graph    using the following table of values:  

    x y

    2

    10

    1

    2

  • 3

    Graphing Absolute Value functions on a TI83: You can find the absolute value function by accessing the Math key.  Arrow to the right to find the NUM menu.   On this screen you will find: #1  abs(  the absolute value function:

    2. Graph   using your calculator and leave the equation in y  for the rest of the activity.

  • 4

    3. THE EFFECT OF K:Graph the following functions and identify the vertex

    a.  b. 

    Vertex_______________ Vertex_________________

    Describe the effect of k on the graph:

  • 5

    4. THE EFFECT OF h:Graph the following functions and identifya.  b. 

    Vertex_______________ Vertex_________________

    Describe the effect of h on the graph:

  • 6

    5. THE EFFECT OF a:Graph the following functions and identify the vertex:

    a.  b. 

    Vertex_______________ Vertex_________________

    c.  d. 

    Vertex_______________ Vertex_________________

    Describe the two effects of a on the graph:

    1.____________________________________________________

    2.____________________________________________________

  • 7

    6. Putting it all together…graph the following functions and identify the vertex.

    a.  b. 

    Vertex_______________ Vertex_________________

  • 8

    7. WITHOUT graphing, can you figure out the vertex of the following function?

       Vertex_______________

  • 9

    2.8 Graphing Absolute Value Functions

    Graph

    The graph is a piecewise function that consists of two rays and is V-shaped.

    It opens up.

    The corner point of the graph is called the vertex. In this case, it occurs at the origin.

    Notice that the graph of is symmetric in the y-axis because for every point (x,y) on the graph, the point (-x,y) is also on the graph.

  • 10

    General form of an absolute value function is y = a |x - h| + k

    • The graph has vertex (h,k) and is symmetric in the line x = h

    • The graph is V-shaped

    • If a < 0, the graph opens down (a is negative)• If a > 0, the graph opens up (a is positive)

    • The graph is wider than the graph of y = |x| if |a| < 1• The graph is narrower than the graph of y = |x| if |a| > 1

    Note: When graphing, "a" is the slope to the RIGHT of the vertex

  • 11

    For examples 1 & 2 tell if the graph opens up or down, and if it is narrower or wider. State the vertex.

    Example 1: y = 6 |x - 7| Example 2: y = |x| + 9

  • 12

    To graph y = a |x - h| + k

    1. Plot the vertex (h,k)

    2. Use the slope (a) to plot another point to the RIGHT of the vertex.

    3. Use symmetry to plot a 3rd point

    4. Complete the graph

  • 13

    Graph y = - |x + 2| + 3

  • 14

    Graph y = 2 |x - 1| + 1

  • 15

    Example 3: Write the equation for

  • 16

    Example 4: Write the equation for

  • 17

    Take out your student handbook and write downthe homework assignment:

    pg. 125-126 #12-17, 19-25 odd, 34-39

    Page 1: Sep 21-12:39 PMPage 2: Sep 21-12:47 PMPage 3: Sep 21-12:49 PMPage 4: Sep 21-12:50 PMPage 5: Sep 21-12:51 PMPage 6: Sep 21-12:52 PMPage 7: Sep 21-12:53 PMPage 8: Sep 21-12:54 PMPage 9: Sep 21-10:32 AMPage 10: Sep 21-10:57 AMPage 11: Sep 21-11:09 AMPage 12: Sep 21-11:12 AMPage 13: Sep 21-11:13 AMPage 14: Sep 21-11:14 AMPage 15: Sep 21-11:15 AMPage 16: Sep 21-11:16 AMPage 17: Sep 21-12:42 PM