Warm up Solve and graph on number line 5|x+2| - 3 < 17

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Presentation transcript:

Warm up Solve and graph on number line 5|x+2| - 3 < 17

Math II Day 46 (10-15-10) Standard MM2A1.a Write absolute value functions as piecewise functions. Today’s Question: How do we graph absolute value equations?

Absolute Value Graph X Intercepts Y Intercept Vertex Axis of Symmetry Domain Range

Graphing Absolute Values Vertex |x + 6| -2 Y doesn’t lie X does change the sign |x - 9| +5 X does change the sign (-6, -2) (9, 5)

Graphing Absolute Values Transformation of Absolute Values -5|x + 6| +8 Mountain or Valley Fat or Narrow – slope of the lines X of the vertex Y of the vertex (-6, 8)

Graphing Absolute Value f(x) = lx-3l Find the Vertex Pick an X greater than the Vertex Pick an X less than the Vertex (3,0) x |x-3| y (x,y) -1 |-1-3| 4 (-1,4) 5 |5-3| 2 (5,2)

Another Example y = 2|x+5| - 3 Find the vertex x 2|x+5| - 3 y (x,y)

You try…. y = -3|x-2| + 6 Find the vertex x -3|x-2| + 6 y (x,y)

Classwork/Homework Page 42 1-16