Learning to Graph Cosine with a Reflection and Period Change

The video tutorial explains how to graph a cosine function by understanding key concepts such as amplitude, period, Xscale, vertical translation, and phase shift. It begins with an introduction to these concepts, followed by calculations for amplitude and period using the general form of the cosine function. The tutorial then demonstrates how to graph the parent cosine function and make necessary adjustments for phase shift and Xscale. Finally, it covers the final adjustments to the graph, including amplitude changes and reflections.

What is the absolute value of 'a' in the cosine function y = a * cos(BX - C) + D?

• The value of B

• The value of C

• The value of D

• The absolute value of a

What is the phase shift of the function y = a * cos(BX - C) + D if C = 0?

• The graph shifts to the right

• The graph shifts to the left

• The graph starts at zero

• The graph is reflected

What is the period of a standard cosine graph?

• 3π/2

• π/2

• 2π

• π

How many important points are there in a standard cosine graph?

• Five

• Four

• Three

• Two

How do you determine the X scale for a transformed cosine graph?

• Subtract the phase shift from the period

• Add the period to the phase shift

• Divide the period by 2

• Multiply the period by 2

What is the effect of a negative 'a' value on the cosine graph?

• It reflects the graph over the X-axis

• It shifts the graph to the left

• It shifts the graph to the right

• It stretches the graph vertically

What happens to the cosine graph when the amplitude is increased?

• The graph's peaks and troughs become higher and lower

• The graph shifts upwards

• The graph becomes narrower

• The graph becomes wider