Graphing a Trigonometric Graph Cosine with a Horizontal Shift

The video tutorial covers transformations in graphs, focusing on amplitude and period changes. It explains how to shift and translate graphs, particularly cosine graphs, and discusses the impact of adding or subtracting values within functions. The teacher also addresses graph continuation and reflection, emphasizing the importance of understanding these concepts for accurate graphing. An interruption occurs, and homework is assigned.

What is the amplitude of a graph if the absolute value of 'a' is 2?

• 4

• 3

• 2

• 1

How do you calculate the period of a function?

• 2π * B

• 2π / B

• 2π - B

• 2π + B

What happens to a graph when you add a constant inside the function?

• It stretches

• It compresses

• It shifts horizontally

• It shifts vertically

If a graph is shifted by π to the left, what is the new landing point if the original was at 2π?

• 2π

• 3π

• π

• 4π

What is the effect of a reflection on a graph?

• It shifts the graph up

• It stretches the graph

• It shifts the graph down

• It flips the graph

What happens to a graph if you shift it by 2π?

• It remains unchanged

• It becomes a new graph

• It flips vertically

• It flips horizontally

How many periods should you graph for a complete transformation?

• Four periods

• Two periods

• One period

• Three periods