Understanding Trigonometric Transformations

The video tutorial explains how to describe and graph a trigonometric transformation of the sine function, specifically Y = 2 sin(1/2πx - 1). It covers identifying the amplitude, period, and vertical shift, and how these affect the graph. The amplitude is determined by the absolute value of 'A', the period by dividing 2π by 'B', and the vertical shift by 'C'. The tutorial then guides through graphing the function, marking key points, and analyzing the graph's behavior.

What is the role of parameter 'A' in the trigonometric function Y = 2 Sine (1/2πX - 1)?

• It affects the vertical shift.

• It affects the phase shift.

• It affects the amplitude.

• It affects the period.

How is the period of the function Y = 2 Sine (1/2πX - 1) calculated?

• By dividing 2π by A.

• By multiplying B by 2π.

• By dividing 2π by B.

• By adding C to 2π.

What is the amplitude of the function Y = 2 Sine (1/2πX - 1)?

• 1

• 2

• 3

• 4

What does a vertical shift of -1 mean for the graph of the function?

• The graph is shifted right by 1 unit.

• The graph is shifted up by 1 unit.

• The graph is shifted down by 1 unit.

• The graph is shifted left by 1 unit.

Where is the new midline of the graph after the vertical shift?

• Y = -2

• Y = 0

• Y = 1

• Y = -1

What is the maximum value of the function after considering the amplitude and vertical shift?

• 3

• 0

• 1

• 2

What is the minimum value of the function after considering the amplitude and vertical shift?

• -1

• -2

• -3

• -4

How many key points are used to graph one period of the sine function?

• 6

• 5

• 4

• 3

At which point does the sine function start when graphing?

• At the vertical shift

• At the midline

• At the minimum

• At the maximum

Which parameter affects the horizontal stretch or compression of the sine graph?

• C

• A

• B

• D