Exploring Cubic Graphs and Shifts

Which of the following is the general form of a cubic function?

• Shifted 2 units to the right

• Shifted 2 units to the left

• Shifted 2 units up

• Shifted 2 units down

• Shifted 3 units left, then 4 units down

• Shifted 3 units right, then 4 units up

• Shifted 3 units left, then 4 units up

• Shifted 3 units right, then 4 units down

• Reflection over the x-axis

• Reflection over the y-axis

• Vertical stretch

• Horizontal stretch

• Vertical stretch

• Vertical compression

• Horizontal stretch

• Horizontal compression

• Vertical stretch by a factor of 2, shift 1 unit left, 3 units down

• Vertical compression by a factor of 2, shift 1 unit right, 3 units up

• Vertical stretch by a factor of 2, shift 1 unit right, 3 units down

• Vertical compression by a factor of 2, shift 1 unit left, 3 units up