exp and log transformations

• Shifted up 4

• Shifted down 4

• Reflection over the x-axis

• Reflection over the y-axis

What is the transformation?

• Vertical Translation up 2
• Vertical Translation down 2
• Horizontal Translation left 2
• Horizontal Translation right 2

What is the transformation?

• Vertical Translation up 1
• Vertical Translation down 1
• Horizontal Translation left 1
• Horizontal Translation right 1

What is the transformation?

• Vertical Translation up 2 and Horizontal translation right 1
• Vertical Translation down 2 and Horizontal Translation left 1
• Horizontal Translation left 2 and Vertical Translation up 1
• Horizontal Translation right 2 and Vertical Translation down 1

Given the original exponential function defined by y=4^x, how would the graph change if the function were:

y=2(4)^x-3+1?

• Vertically stretched by a factor of 2, right 3, and up 1

• Vertically compressed by a factor of 1/2, left 3 and down 1

• Vertically compressed by a factor of 1/2, right 3, and down 1

• Vertically stretched by a factor of 2, left 3, and up 1

• Vertically shift down 3, horizontally shift left 2, and vertically compressed 1/2 units

• Vertically shift up 3, horizontally shift left 2, and vertically compressed 1/2 units

• Vertically shift down 3, horizontally shift right 2, and vertically compressed 1/2 units

• Vertically shift up 3, horizontally shift right2, and vertically compressed 1/2 units

• Translate up 2 units

• Translate down 2 units

• Translate up 8 units

• Translate down 8 units

• Translate up 3 units

• Translate down 3 units

• Translate up 4 units

• Translate down 4 units

• Translate up 1 unit

• Translate up 2 units

• Translate up 3 units

• Translate up 1/2 unit

• Translate up 8 units

• Translate down 8 units

• Translate up 10 units

• Translate down 10 units