Identify the parts of the cosine graph

The video tutorial covers the identification of graph characteristics, focusing on amplitude, period, and transformations. It explains how amplitude affects graph stretching and reflection, the concept of period and horizontal compression, and the role of the unit circle in determining graph limits. The tutorial also discusses vertical and phase shifts, range adjustments, and reflections about the X-axis, providing a comprehensive understanding of graph transformations.

What is the amplitude of a graph if the value of 'a' is -3?

• 3

• 1.5

• -3

• 0

How does a horizontal compression affect the period of a graph?

• It doubles the period

• It has no effect on the period

• It decreases the period

• It increases the period

What is the maximum value of a graph with an amplitude of 2 and a vertical shift of -1?

• 0

• 2

• 1

• 3

What effect does a negative sign in front of 'a' have on the graph?

• It shifts the graph up

• It compresses the graph horizontally

• It stretches the graph vertically

• It reflects the graph about the x-axis

If a graph is shifted down by 1 unit, what happens to its range?

• The range remains the same

• The range increases by 1

• The range decreases by 1

• The range doubles