Translations and Dilations of Exponential Functions

• Shift up 2

• Shift down 2

• Shift left 2

• Shift right 2

• Shift up 1

• Shift down 1

• Shift left 1

• Shift right 1

• shift up 2 and right 1

• shift down 2 and left 1

• shift left 2 and up 1

• shift right 2 and down 1

• Shift up 5

  Vertical compression (DF 3)

• Shift down 5

  Vertical stretch (DF 7)

• Shift up 5

  Vertical compression (DF 7)

• Shift down 5

  Vertical stretch (DF 3)

• Shifted left 4

• Shifted down 4

• Vertical compression (DF 1/3)

• Reflection over the x-axis

• Horizontal stretch (SF 3)

• Horizontal Shift to the left by 7

• Vertical Shift upwards by 7

• Horizontal Shift right by 7

• Vertical shift downwards by 7

• Horizontal Shift to the left by 7

• Vertical Shift to upward by 7

• Horizontal Shift to the right by 7

• Vertical shift downward by 7

• Horizontal shift

• Vertical Translation

• Vertical Dilation

• Horizontal Dilation

What equation would yield a transformation right 3 units if your initial function was y=2^x

• y=2^x-3
• y=2^x+3
• y=2^x+3
• y=2^x-3

Compare f(x) = 3^x- 4 with the parent function g(x) = 3^x

• 4 units up
• 4 units to the left
• 4 units to the right
• 4 units down