2.6 – vertical and horizontal translations. translating functions a translation is an operation...
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2.6 – Vertical and Horizontal Translations
Translating Functions
• A translation is an operation that shifts a graph horizontally, vertically, or both. The results are a graph of the same size and shape, just in a different position
Y = |x + 2| – 3
(-2 , -3)
Parent Function: the simplest function with the given characteristics
Y = |x + 5| + 8
(-5 , 8)
Y = |x – 8| – 6
(8 , -6)
Y = |x – 7| + 4
(7 , 4)
Y = |x – 4| – 5
(4 , -5)
Y = |2x – 8| + 2
(4 , 2)
Y = |3x + 6| – 3
(-2 , -3)
Is there a formula for graphing absolute value equations???
• Y = |x + 2| – 3• Y = |x + 5| + 8• Y = |x – 8| – 6 • Y = |x – 7| + 4• Y = |x – 4| – 5• Y = |2x – 8| + 2• Y = |3x + 6| – 3• Y = |mx + b| + c
(-2 , -3)(-5 , 8)(8 , -6)(7 , 4)(4 , -5)(4 , 2)(-2 , -3)(- b/m , c)
What is the pattern?
• Y = |mx + b| + c
• What does the m (slope) do to the graph?
(- b/m , c)
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