The video tutorial discusses how to compare the graphs of y = cosine(θ) and y = 2cosine(θ). It explains the concept of graph transformations, focusing on amplitude and period changes. The teacher uses familiar algebraic functions to illustrate these transformations, emphasizing the effects of multiplying by a constant. The tutorial concludes by highlighting that multiplying the cosine function by 2 affects the amplitude but not the period.

What transformations occur to the graph of y = 2 * X^2 compared to y = X^2?

How does the cosine graph behave in terms of continuity?

Discuss the relationship between amplitude and the height of a trigonometric graph.