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.

Tags

CCSS.HSF-IF.C.7E

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.

Tags

CCSS.HSF-IF.C.7E

Front

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

Back

The range is [-4, 4].

Tags

CCSS.HSF.TF.A.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.

Tags

CCSS.HSF-IF.C.7E

Front

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

Back

The period is 2π/3.

Tags

CCSS.HSF.TF.A.4

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.

Tags

CCSS.HSF.TF.A.4

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.

Tags

CCSS.HSF-IF.C.7E

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.

Tags

CCSS.HSF-IF.C.7E

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.

Tags

CCSS.HSF-IF.C.7E

Front

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

Back

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

Tags

CCSS.HSF-IF.C.7E