Graphing Absolute Value Equations

Flashcards covering key concepts in graphing absolute value equations, transformations, domain, and range.

Parent Graph y=|x|

The parent graph for absolute value equations.

y=a|x-h|+k

General form of absolute value equations.

a

Vertical stretch (slope) in absolute value equations.

h

Horizontal shift (left/right) in absolute value equations.

k

Vertical shift (up/down) in absolute value equations.

Domain

All Real numbers

Range

y ≥ 0

Transformation of f(x)=-|x|

Reflection over the x-axis

Transformations of f(x)=|x+1|+3

Left 1, Up 3

Transformations of f(x)=|x-2|-3

Right 2, Down 3

Transformations of f(x)=-|x-1|+2

Reflection, Right 1, Up 2

Transformations of f(x)=|x+2|-1

Left 2, Down 1

Transformations of f(x)=-|x-2|

Reflection, Right 2