Abs Value Functions

Definition §

Absolute Value - Distance to the origin (that’s why always positive distance is never negative)

Notation §

Parent §

f(x) = | x | = x , for x 0 -x, for x < 0 1. f(x) = x 2. f(x) = -x

Transformation §

No k in absolute value functions f(x) = a | x - p | + q

q - Vertical Translation 1 => Translate 1 unit up -1 => Translate 1 unit down p - Translation left or right (if p positive shift left if p negative shift right) - => shift right => shift left a - vertical stretch / compression 3 => Vertical Stretch by a factor of 3 => Vertical Compression by a factor of

In class notes §