Modeling with Periodic Functions — Unit test

Question 1

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 2

The height, h, in feet of a ball suspended from a spring as a function of time, t, in seconds can be modeled by the equation . What is the height of the ball at its equilibrium?

Revolt · Accepted Answer

k feet

Question 3

Which function is the same as ?

Revolt · Accepted Answer

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

Question 4

Which of the following is cot() sec() in simplified form?

Revolt · Accepted Answer

csc

Question 5

Which of the following is the equation of the function below?

Revolt · Accepted Answer

y equal to 2 secant left-square-bracket 2 (x + pi) right-square-bracket minus 2.

Question 6

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 7

Which transformations are needed to change the parent sine function to the sine function below?

Revolt · Accepted Answer

vertical compression of , horizontal stretch to a period of , vertical shift of 1 unit up, phase shift of units left

Question 8

Which of the following is the graph of ?

Revolt · Accepted Answer

On a coordinate plane, a curve crosses the y-axis at (0, 0). It has a maximum of 1 and a minimum of negative 1. It goes through 2 cycles at pi.

Modeling with Periodic Functions — Unit test Answers

More from this Course

TRY EDGENUITY HACKS