Graphing the Cosine Function with a Change in Period and Vertical Transformation

The video tutorial explains how to graph the function P(x) = cos(2x + 1) by identifying transformations and characteristics such as amplitude, period, X scale, phase shift, and vertical transformation. It covers the transformation function, calculates the necessary characteristics, and provides a step-by-step guide to graphing the function, ensuring a clear understanding of the process.

What is the primary focus when graphing trigonometric functions like P(x) = cos(2x + 1)?

• Calculating the derivative

• Determining the transformations and characteristics

• Identifying the parent function

• Finding the roots of the function

How is the amplitude of the function P(x) = cos(2x + 1) determined?

• By taking the absolute value of A

• By taking the absolute value of B

• By setting the phase shift to zero

• By dividing the period by 4

What is the period of the function P(x) = cos(2x + 1)?

• π/2

• 2π/4

• 2π

• π

What is the x-scale for the function P(x) = cos(2x + 1)?

• 2π

• π/4

• π/2

• π

When graphing the function, where does the cosine graph start?

• At its phase shift

• At its maximum

• At its intercept

• At its minimum