Modeling with Periodic Functions — Unit test

Question 1

Which function is the same as ?

Revolt · Accepted Answer

y = negative 3 sine (2 (x + StartFraction pi Over 4 EndFraction)) minus 2

Question 2

An angle in standard position measures radians, and P(0, 1) is on the terminal side of the angle. What is the value of the cosine of this angle?

Revolt · Accepted Answer

0

Question 3

How long is the arc intersected by a central angle of radians in a circle with a radius of 6 ft? Round your answer to the nearest tenth. Use 3.14 for .

Revolt · Accepted Answer

6.3 ft

Question 4

What is the domain of the function ?

Revolt · Accepted Answer

all real numbers except , where n is any integer

Question 5

What is the amplitude of the cosine function corresponding to the secant function graphed below?

Revolt · Accepted Answer

2

Question 6

Judy knows that the function graphed below is a transformation of the parent function . Since the period and asymptotes are the same as those of the parent function, she knows that there were no horizontal stretches, compressions, or translations. She can also tell that there were no reflections since the general shape of the graph is the same as that of the parent function. Which statement is correct regarding the transformations that were applied?

Revolt · Accepted Answer

Since the y-intercept of the graph is , the graph of the parent function was translated 1.5 units down, and since the graph passes through the point instead of , the graph was vertically compressed.

Question 7

Which point does the graph of the parent function pass through?

Revolt · Accepted Answer

(StartFraction pi over 3 EndFraction , square root of 3)

Modeling with Periodic Functions — Unit test Answers

More from this Course

TRY EDGENUITY HACKS