Graphing Cosine with a Reflection, Change in Amplitude, Period and Phase Shift

The video tutorial explains how to graph a cosine function with transformations, including amplitude, period, phase shift, and vertical transformation. It covers the impact of a negative sign indicating reflection over the X-axis and provides a step-by-step guide to graphing the function, considering all transformations and reflections.

What does a negative sign in front of the cosine function indicate?

• A vertical shift

• A reflection over the X-axis

• A horizontal shift

• A change in amplitude

How do you calculate the period of a cosine function?

• The coefficient of X divided by 2π

• 2π divided by the amplitude

• 2π divided by the coefficient of X

• The absolute value of the amplitude

What is the X scale in the context of graphing a cosine function?

• The distance between the maximum and minimum points

• The period divided by 4

• The absolute value of the amplitude

• The phase shift divided by 2

How do you determine the phase shift of a cosine function?

• By dividing the amplitude by the period

• By setting the inside of the function equal to zero and solving for X

• By multiplying the period by the coefficient of X

• By adding the vertical transformation to the amplitude

How does the phase shift affect the starting point of the cosine graph?

• It moves the starting point up or down

• It moves the starting point left or right

• It changes the amplitude

• It changes the period

What happens to the graph of a cosine function when it is reflected?

• The graph is inverted over the X-axis

• The graph's amplitude is doubled

• The graph shifts horizontally

• The graph shifts vertically

What is the result of completing two full periods of a cosine graph?

• The graph returns to its original position

• The graph's amplitude is halved

• The graph completes a full cycle twice

• The graph's period is doubled