What is the standard form of sine and cosine

The video tutorial explains the standard forms of sine and cosine functions, detailing how each component (A, B, C, D) affects the graph's amplitude, period, phase shift, and vertical translation. It provides insights into graph transformations and clarifies common confusions regarding the placement of D in equations.

What is the purpose of writing the constant D in different positions in the standard forms of sine and cosine functions?

• To avoid confusion with the function itself

• To change the function's amplitude

• To confuse students

• To make the equation longer

How does the constant A affect the sine and cosine graphs?

• It changes the graph's period

• It affects the graph's phase shift

• It determines the graph's amplitude and reflection

• It shifts the graph vertically

What happens to the graph when the constant A is negative?

• The graph's period changes

• The graph reflects across the Y-axis

• The graph reflects across the X-axis

• The graph shifts up

How do the constants B and C together affect the graph of sine and cosine functions?

• They have no effect on the graph

• They change the graph's vertical translation

• They affect the graph's phase shift

• They determine the graph's amplitude

What is the effect of a negative B on the graph?

• It shifts the graph vertically

• It reflects the graph across the Y-axis

• It has no effect on the graph

• It changes the graph's amplitude