Graphing the Cosine Function with a Reflection

The video tutorial covers the graphing of cosine functions, focusing on amplitude, period, reflection, and horizontal translations. It explains how to calculate the amplitude and period, and how to graph the function with reflections and translations. The tutorial also provides tips for graphing two periods of the function and highlights key points in the graphing process.

What is the effect of a negative sign in front of the cosine function?

• It increases the amplitude.

• It reflects the graph across the X-axis.

• It shifts the graph to the right.

• It changes the period.

How do you calculate the period of a cosine function?

• By adding 2π to B.

• By multiplying 2π by B.

• By dividing 2π by B.

• By subtracting B from 2π.

What does a minus sign inside the cosine function indicate?

• A change in period.

• A horizontal shift.

• A change in amplitude.

• A vertical shift.

Where does a reflected cosine graph start?

• At the intercept.

• At the maximum point.

• At the midpoint.

• At the minimum point.

What are the four important points in a cosine graph?

• Two intercepts, a midpoint, and a minimum.

• Two minima, a maximum, and an intercept.

• Two maxima, a minimum, and an intercept.

• Two intercepts, a maximum, and a minimum.

How does a horizontal translation affect a cosine graph?

• It shifts the graph horizontally.

• It shifts the graph vertically.

• It changes the amplitude.

• It changes the period.

What is the result of shifting a cosine graph π units to the right?

• The graph moves π units to the right.

• The graph remains unchanged.

• The graph moves 2π units to the right.

• The graph moves π units to the left.