PreCalc 1-6 (after Part 2) Graphs of Trig Functions

Front

What does the variable 'd' represent in the function y=a*sin(bx - c)+d?

Back

The variable 'd' represents a vertical shift of the graph.

Front

What is the definition of Amplitude in the context of sine and cosine graphs?

Back

Amplitude is the distance above or below the midline of a sine or cosine graph, always taken as a positive value.

Front

What is the range of the function y=4cos(x -1)?

Back

The range is [-4, 4].

Front

What does the variable 'c' represent in the function y=a*sin(bx - c)+d?

Back

The variable 'c' represents a horizontal shift of the graph.

Front

What is the period of the function y=cos(3x - π) - 5?

Back

The period is 2π/3.

Front

How do you calculate the period of a sine or cosine function?

Back

The period is calculated as 2π divided by the coefficient of x in the function.

Front

What is the effect of changing the value of 'a' in the function y=a*sin(bx - c)+d?

Back

Changing the value of 'a' affects the amplitude of the graph.

Front

What is the midline of a sine or cosine graph?

Back

The midline is the horizontal line that runs through the middle of the graph, typically at y=d.

Front

What happens to the graph of y=sin(x) when 'b' is increased?

Back

Increasing 'b' compresses the graph horizontally, resulting in more cycles within the same interval.

Front

What is the relationship between frequency and period in trigonometric functions?

Back

Frequency is the reciprocal of the period; frequency = 1/period.