Precal: Sine, Cosine, and Tangent Graphs

Front

What is the definition of Amplitude in trigonometric functions?

Back

Amplitude is the distance from the midline to the maximum or minimum value of the function.

Tags

CCSS.HSF-IF.C.7E

Front

What does the Period of a trigonometric function represent?

Back

The period is the horizontal length required to complete one full cycle of the function.

Tags

CCSS.HSF.TF.A.4

Front

How do you calculate the amplitude of the function y = 3sin(x)?

Back

The amplitude is 3, which is the coefficient of the sine function.

Tags

CCSS.HSF-IF.C.7E

Front

What is the formula to find the period of the function y = a sin(bx)?

Back

The period is calculated as 2π/|b|.

Tags

CCSS.HSF-IF.C.7E

Front

What is the vertical shift of the function y = sin(x) + 2?

Back

The vertical shift is 2 units up.

Tags

CCSS.HSF-IF.C.7E

Front

What is the effect of a negative sign in front of the sine function, such as in y = -sin(x)?

Back

It reflects the graph across the x-axis.

Tags

CCSS.HSF-IF.C.7E

Front

What is the period of the function y = 4cos(3x)?

Back

The period is 2π/3.

Tags

CCSS.HSF.TF.A.4

Front

How does a phase shift affect the graph of a sine function?

Back

A phase shift moves the graph left or right along the x-axis.

Tags

CCSS.HSF-IF.C.7E

Front

What is the amplitude of the function y = -2cos(x)?

Back

The amplitude is 2, as amplitude is always a positive value.

Tags

CCSS.HSF-IF.C.7E

Front

What is the vertical translation of the function y = 5 + cos(x)?

Back

The vertical translation is 5 units up.

Tags

CCSS.HSF-IF.C.7E