Graphing the Sine Function with a Reflection Over the Y Axis

The video tutorial explains how to graph y = -sin(x) by reflecting the parent graph of sine over the X-axis. It begins with an introduction to the concept of transformations and the specific changes involved in graphing negative sine. The tutorial then covers the properties of the parent graph of sine, including its amplitude and period, and demonstrates graphing two periods of the sine function. Finally, it shows how to reflect the graph over the X-axis to achieve the graph of y = -sin(x).

What transformation is applied to the sine function to graph Y = -sin(X)?

• Rotation around the origin

• Stretching along the X-axis

• Reflection over the X-axis

• Translation along the Y-axis

What is the period of the parent sine function?

• 2π

• 4π

• π/2

• π

At which point does the parent sine graph start its cycle?

• At π/2

• At the origin

• At its maximum

• At its minimum

How does the graph of Y = -sin(X) differ from Y = sin(X)?

• It has a different amplitude

• It is reflected over the X-axis

• It is stretched vertically

• It is shifted to the right

What happens to points on the X-axis when graphing Y = -sin(X)?

• They are shifted up

• They remain unchanged

• They are shifted down

• They are reflected over the Y-axis