2­6: Vertical and Horizontal Translations
Objectives:
• To identify vertical and horizontal translations of • absolute value functions.
• To accurately graph absolute value functions.
Key Terms:
Translation: the shifting of a graph vertically, horizontally, or both; horizontal shift = left/right shift
vertical shift = up/down shift
diagonal shift = a combination of horizontal and vertical shifts
Parent function: the most basic form of any type of function (a line, a parabola, an absolute value...); it occurs without any translation
Checking your graphs using the Graphing Calculator:
[ Y = ]
If any Plots are highlighted, you will need to turn them off. Go to [ 2nd ] [ Y = ] 4: Plots Off [ ENTER]
[ MATH ]
[ ]
[ 1: ]
Enter your equation.
[ GRAPH ]
If you cannot see the "V"
[ ZOOM ] [ 6: ]
[ ZOOM ] [ 5: ]
Then ZOOM 5: to "square" the window.
Vertical Shifts:
shifts the parent function
up "k" units
shifts the parent function
down "k" units
Horizontal Shifts:
shifts the parent function
left "k" units
shifts the parent function
right "k" units
Homework:
pg. 95 #1­4, 9­11, 16­18, 21­25, 27­30, 40­42
Use graph paper.