Graphing the Sine Function with a Phase Shift

The video tutorial explains how to graph the function F(x) = 4sin(πx + π). It covers key concepts such as determining the amplitude and period of the function, identifying critical points, and graphing one and two periods of the function. The tutorial provides step-by-step instructions to help viewers understand the process of graphing trigonometric functions with transformations.

What is the amplitude of the function F(x) = 4sin(πx + π)?

• 4

• 2

• π

• 1

How is the period of the function F(x) = 4sin(πx + π) calculated?

• π / 2

• 2π / 4

• π / 4

• 2π / π

What is the period of the function F(x) = 4sin(πx + π)?

• 4

• π

• 2

• 1

How many critical points are there in one period of the sine function?

• 2

• 5

• 3

• 4

What is the distance between each critical point in the function F(x) = 4sin(πx + π)?

• 1

• 2

• 1/4

• 1/2

What is the starting point of the graph for one period of F(x) = 4sin(πx + π)?

• x = 0

• x = -1

• x = 1

• x = 2

How many periods should be graphed to show the function F(x) = 4sin(πx + π) completely?

• 1

• 4

• 2

• 3