3.3 Transformations

f(x) + #

• UP

• DOWN

• LEFT

• RIGHT

f(x) - #

• UP

• DOWN

• LEFT

• RIGHT

f(x - #)

• UP

• DOWN

• LEFT

• RIGHT

f(x + #)

• UP

• DOWN

• LEFT

• RIGHT

#f(x)

#>1

• Horizontal Stretch

• Vertical Stretch

• Horizontal Compression

• Vertical Compression

#f(x)

0<#<1

• Horizontal Stretch

• Vertical Stretch

• Horizontal Compression

• Vertical Compression

f(#x)

0<#<1

• Horizontal Stretch

• Vertical Stretch

• Horizontal Compression

• Vertical Compression

f(#x)

#>1

• Horizontal Stretch

• Vertical Stretch

• Horizontal Compression

• Vertical Compression

Explain the given transformations

5f(x + 2) - 3

• Vertical Stretch of 5

  Left 2

  Down 3

• Vertical Compression of 5

  Right 2

  Up 3

• Horizontal Stretch of 5

  Left 3

  Down 2

• Horizontal Compression of 5

  Right 3

  Up 2

Explain the given transformations

f(3x - 1) + 2

• Vertical Stretch of 3

  Left 1

  Down 2

• Vertical Compression of 3

  Right 1

  Up 2

• Horizontal Stretch of 3

  Left 1

  Down 2

• Horizontal Compression of 3

  Right 1

  Up 2