Wednesday, September 1, 2010

Graphing y=a|x-h|+k

For this equation the Vertex would be: (h,k)
The variable a represents whether the graph opens up or down. 
The h moves the graph to the left or right.
The k moves the graph up or down. 


Examples: 


When you have the equations:
  •  y = |x + h| the graph will move h units to the left.
  • y = |x - h| the graph will move h units to the right.
      
  •  y = |x| + k the graph will move up k units.

  •  y = |x| - k the graph will move down k units. 
    If your equation happens to have a negative sign in front of the absolute value, the graph will be flipped or reflected over the x-axis  








    1 comment:

    1. Make sure you get a good idea of y=|x + 2|...(these symbols are just above the ENTER key on most keyboard)on your calculator it is ABS...if you see that key in y = abs(x +2) you will notice it moves the vertex two units left!

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