Graphing a Transformed Sine Function

The video tutorial explains how to sketch the graph of a transformed sine function. It covers determining the amplitude, period, phase shift, and vertical shift of the function. The tutorial also discusses the reflection across the midline due to a negative amplitude and provides a step-by-step guide to graphing the function over one period. Additionally, it demonstrates how to use graphing tools to accurately plot the function.

What is the coefficient of the sine function in the given problem?

• 2

• -2

• -1

• 1

How is the amplitude of the sine function determined?

• By the constant term

• By the coefficient of x

• By the phase shift

• By the absolute value of the coefficient of sine

What is the period of the sine function in radians?

• 12

• 3

• 6

• 9

What is the phase shift of the function?

• Left 2 radians

• Right 2 radians

• Left 1 radian

• Right 1 radian

What is the vertical shift of the function?

• Up 1 unit

• Down 1 unit

• Up 2 units

• Down 2 units

What is the midline of the function?

• y = 0

• y = 2

• y = 1

• y = -1

What is the maximum value of the function?

• 1

• 2

• -3

• -1

What is the pattern followed when graphing the function with a negative coefficient?

• Midline, Maximum, Midline, Minimum

• Midline, Minimum, Midline, Maximum

• Maximum, Midline, Minimum, Midline

• Minimum, Midline, Maximum, Midline

How many sub-intervals is the period divided into for graphing?

• 3

• 5

• 4

• 2

What tool is used to graph the sine function over a larger interval?

• Protractor

• Calculator

• Graphing tool

• Ruler