Graphing Cosine Functions with Reflections

The video tutorial explains how to graph cosine functions with reflections. It covers identifying amplitude and period, graphing the parent function, adjusting these parameters, and applying reflections. The tutorial provides step-by-step guidance on plotting key points and understanding the effects of changes in amplitude and period on the graph.

What is the formula to calculate the period of a cosine function?

• B / 2π

• 2π / A

• A / 2π

• 2π / B

When graphing the parent cosine function, where do the intercepts occur?

• At 0 and π

• At π/2 and 3π/2

• At π and 2π

• At 2π and 3π

How does increasing the amplitude affect the graph of a cosine function?

• It shifts the graph to the right.

• It stretches the graph vertically.

• It reflects the graph over the x-axis.

• It compresses the graph horizontally.

What happens to the period of a cosine function when B is doubled?

• The period is doubled.

• The period remains the same.

• The period is quadrupled.

• The period is halved.

In a cosine function, what is the effect of a reflection over the x-axis?

• The graph is flipped horizontally.

• The graph is flipped vertically.

• The graph shifts downwards.

• The graph shifts upwards.

What is the minimum value of a cosine function with an amplitude of 2?

• -2

• 0

• -1

• 1

How does a reflection affect the intercepts of a cosine function?

• Intercepts are shifted left.

• Intercepts remain unchanged.

• Intercepts are inverted.

• Intercepts are shifted right.