Pretest

Question 1

What is the general equation of a cosine function with an amplitude of 3 , a period of 4 pi , and a horizontal shift of negative pi ?

Revolt · Accepted Answer

y is equal to 3 cosine open paren 0 point 5 times open paren x plus pi close paren close paren

Question 2

The graph of y is equal to sine of open paren x minus 3 pi over 2 close paren is the graph of the y is equal to sine of x shifted in which direction?

Revolt · Accepted Answer

3 pi over 2 units to the right

Question 3

What is the phase shift of a periodic function ?

Revolt · Accepted Answer

a horizontal translation of the function

Question 4

The graph of y is equal to cosine of open paren x plus pi over 2 close paren is the graph of the y is equal to cosine of x shifted in which direction?

Revolt · Accepted Answer

pi over 2 units to the left

Question 5

What is the period of y is equal to sine of 3 x ?

Revolt · Accepted Answer

2 pi over 3

Question 6

Which term gives the number of cycles of a periodic function that occur in one horizontal unit?

Revolt · Accepted Answer

frequency

Question 7

What is the general equation of a sine function with an amplitude of 2 , a period of pi and a horizontal shift of pi units?

Revolt · Accepted Answer

y is equal to 2 sine open paren 2 times open paren x minus pi close paren close paren

Question 8

The graph of y is equal to sine of open paren x minus 3 pi over 2 close paren is the graph of the y is equal to sine of x shifted in which direction?

Revolt · Accepted Answer

3 pi over 2 units to the right

Question 9

Which of the following is the graph of y is equal to sine of 0 point 5 x ?

Revolt · Accepted Answer

Image with description A coordinate plane. The graph starts and rises to (negative pi comma negative 1.5). It then falls through (negative 7 pi over 8 comma negative 2) to (negative 3 pi over 4 comma negative 2.5). It then rises through (negative 5 pi over 8 comma negative 2) to (negative pi over 2 comma negative 1.5). It then falls through (negative 3 pi over 8 comma negative 2) to (negative pi over 4 comma negative 2.5). It then rises through (negative pi over 8 comma negative 2) to (0 comma negative 1.5). It then falls through (pi over 8 comma negative 2) to (negative pi over 4 comma negative 2.5). It then rises through (3 pi over 8 comma negative 2) to (pi over 2 comma negative 1.5). It then falls through (5 pi over 8 comma negative 2) to (3 pi over 4 comma negative 2.5). It then rises through (7 pi over 8 comma negative 2) to (pi comma negative 1.5).

Question 10

Which term gives the horizontal length of one cycle of a periodic function?

Revolt · Accepted Answer

period

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