2.8 Absolute Value Functions
Absolute Value Functions• The absolute value of x is defined by:• The graph of y = |x| looks like a v-shape.              ...
General Form• y = a |x – h| + k• What will always be the coordinates of the               (h, k)  vertex? _______________ ...
Graphing Absolute Value Functions• Plot the vertex• Plot another point• Use symmetry to plot a 3rd point
Example:• Graph y = - | x + 2| + 3
Your Turn!• Graph y = - | x – 1 | + 1
Writing Absolute Value Functions• y = a| x – h | + k• Find the vertex (h, k)• Plug in a point to find a.
Example:• Write an equation of the graph shown.
Your Turn!• Write an equation of the graph shown.
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2.8 Absolute Value Functions

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2.8 Absolute Value Functions

  1. 1. 2.8 Absolute Value Functions
  2. 2. Absolute Value Functions• The absolute value of x is defined by:• The graph of y = |x| looks like a v-shape. activity
  3. 3. General Form• y = a |x – h| + k• What will always be the coordinates of the (h, k) vertex? _______________ up• When a > 0, the graph opens ___________. down When a < 0, the graph opens ___________. wider• When |a| < 1, the graph is ___________ than the graph of y = |x|. narrower• When |a| > 1, the graph is ______________ than the graph of y = |x|.
  4. 4. Graphing Absolute Value Functions• Plot the vertex• Plot another point• Use symmetry to plot a 3rd point
  5. 5. Example:• Graph y = - | x + 2| + 3
  6. 6. Your Turn!• Graph y = - | x – 1 | + 1
  7. 7. Writing Absolute Value Functions• y = a| x – h | + k• Find the vertex (h, k)• Plug in a point to find a.
  8. 8. Example:• Write an equation of the graph shown.
  9. 9. Your Turn!• Write an equation of the graph shown.

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