2.7

1,475 views

Published on

Published in: Education, Technology
0 Comments
1 Like
Statistics
Notes
  • Be the first to comment

No Downloads
Views
Total views
1,475
On SlideShare
0
From Embeds
0
Number of Embeds
32
Actions
Shares
0
Downloads
25
Comments
0
Likes
1
Embeds 0
No embeds

No notes for slide

2.7

  1. 1. 2.7 ABSOLUTE VALUE FUNCTIONS AND GRAPHS
  2. 2. ABSOLUTE VALUE FUNCTION <ul><li>The simplest form (parent graph) of an absolute value function is </li></ul>
  3. 3. ABSOLUTE VALUE FUNCTION <ul><li>The graph of is V-shaped and symmetric about a vertical line called the axis of symmetry . </li></ul><ul><ul><li>The graph also has a single maxima point or minima point, called a vertex </li></ul></ul>
  4. 4. TRANSFORMATIONS OF THE ABSOLUTE VALUE FUNCTION
  5. 5. EXAMPLE <ul><li>Make a table of values, then graph the function. Describe the transformation from the parent function. </li></ul>
  6. 6. EXAMPLE <ul><li>Make a table of values, then graph the function. Describe the transformation from the parent function. </li></ul>
  7. 7. EXAMPLE <ul><li>Graph the equation. Describe the transformation from the parent function. </li></ul>
  8. 8. EXAMPLE <ul><li>Graph the equation. Describe the transformation from the parent function. </li></ul>
  9. 9. GENERAL FORM OF THE ABSOLUTE VALUE FUNCTION When translations, stretches and compressions are combined for Absolute Value Functions, we derive the general form: The stretch or compression factor is |a|, the vertex is located at (h, k), and the axis of symmetry is the line x = h
  10. 10. EXAMPLE <ul><li>Without graphing, what are the vertex and axis of symmetry of the graph of: </li></ul>
  11. 11. EXAMPLE <ul><li>Without graphing, what are the vertex and axis of symmetry of the graph of: </li></ul>
  12. 12. WRITING AN ABSOLUTE VALUE FUNCTION FROM A GRAPH <ul><li>Identify the vertex </li></ul><ul><li>Identify a, by finding the slope of the branch on the right </li></ul><ul><li>Write the equation </li></ul>
  13. 13. EXAMPLE <ul><li>What is the equation of the absolute value function? </li></ul>
  14. 14. EXAMPLE <ul><li>What is the equation of the absolute value function? </li></ul>

×