How to Graph the Sine Graph with Reflection

The video tutorial explains how to graph the function F(x) = -2sin(x). It covers key concepts such as amplitude, period, and reflection over the X-axis. The tutorial guides viewers through identifying critical points and graphing the function without phase shifts, emphasizing the importance of understanding the shape of the graph and its transformations.

What is the amplitude of the function F(x) = -2sin(x)?

• -2

• 0

• 2

• 1

How is the period of the function F(x) = -2sin(x) calculated?

• 2π times B

• 2π divided by B

• π divided by A

• π times A

What effect does the negative sign in the amplitude have on the graph of F(x) = -2sin(x)?

• No effect

• Reflection over the x-axis

• Horizontal shift

• Vertical stretch

How many critical points are identified within one period of the function?

• 2

• 3

• 5

• 4

What is the starting point of the graph for F(x) = -2sin(x) when there is no phase shift?

• 2π

• 0

• π

• -π

How does the graph of F(x) = -2sin(x) differ from the parent function of sin(x)?

• It is reflected and stretched

• It is compressed

• It is shifted right

• It is shifted left

What is the maximum value reached by the graph of F(x) = -2sin(x)?

• -1

• 1

• 2

• -2