Graphical Transformations of Functions

What is the domain of the graph?

• All real numbers

• To infinity and beyond

• y ≥ -1

• x ≥ 0

What is the range of the graph?

• All real numbers

• To infinity and beyond

• y ≥ -1

• x ≥ 0

• Vertical Stretch by a Factor of 3

• Vertical Compression by a Factor of 3

• Shift 3 units up

• Shift 3 units down

• Shift 3 units left

• Shift 3 units right

• Shift 7 units down

• Shift 7 units up

• Shift 7 units left

• Shift 7 units right

• Horizontal Stretch by a Factor of 2

• Vertical Stretch by a Factor of 2

• Shift 3 units up

• Shift 3 units down

• Shift 3 units left

• Shift 3 units right

• Shift 1 unit left

• Shift 1 unit right

• Shift 5 units up

• Shift 5 units down

• Reflection over the x-axis

• Reflection over the y-axis

• Shift 7 units up

• Shift 7 units down

Describe the transformation: (click on two answers)
k\left(x\right)=\left(2x\right)^7-1

• Horizontal Stretch by a Factor of 2

• Shift 1 unit down

• Shift 1 unit right