How to translate the sine function three units down

The video tutorial explains how to graph the function F(x) = sin(x) - 3. It begins by discussing the parent graph of the sine function, including its amplitude, period, and x scale. The tutorial then explains the concept of a vertical shift and demonstrates how to graph the function by shifting the parent graph down by three units. The process is shown step-by-step, ensuring a clear understanding of the transformation involved.

What is the amplitude of the parent sine function?

• π/2

• 2π

• 0

• 1

How does a vertical shift affect the graph of a function?

• It alters the amplitude of the function.

• It rotates the graph around the origin.

• It changes the period of the function.

• It moves the graph up or down.

What is the period of the sine function?

• π

• 2π

• 1

• π/2

When graphing F(x) = sin(x) - 3, what is the first step?

• Shift the graph to the right.

• Plot the parent sine graph.

• Rotate the graph.

• Change the amplitude.

After plotting the parent sine graph, what is the next step to graph F(x) = sin(x) - 3?

• Decrease the period by 3.

• Increase the amplitude by 3.

• Shift the graph down by 3 units.

• Shift the graph up by 3 units.