Absolute Value Equations Graphs Inequalities and Transformations

Reflects over x-axis, compresses wider, shifts right 1 unit

Reflects over x-axis, compresses wider, shifts up 1 unit

Reflects over x-axis, stretches more narrow, shifts right 1 unit

Reflects over x-axis, stretches more narrow, shifts up 1 unit

Shifts left 5

Shifts right 5

Shifts up 5

Shifts down 5

y=6|x|-2/5

y=2/5|x|+6

y=2/5|x+6|

y=2/5|x-6|

y = x

y = |x|

y = x²

y = 2^x

reflected over x axis, stretched by 2, right 3, up 3

reflected over x axis, stretched by 2, left 3 up 3.

reflected over x axis, shrunk by 2, right 3, up 3

reflected over the x axis, shrunk by 2, left 3, up 3

g(x)=|x+2|

g(x)=|x|+2

g(x)=|x-2|

g(x)=|x|-2

a = 8, a = 5

a = 2

a = 8

a = 8, a = 2

{-1,-15}

{-1,-5}

{-15,15}

No Solution

-14

-4

{-14, -4}

no solution