AnswersPrecalculusEquations of Ellipses

Equations of Ellipses — Unit test Answers

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Which formula gives the zeros of y = sin(x)?

A
for any positive integer k
Option A
B
for any integer k
Option B
C
for any positive integer k
Option C
D
for any integer k
Option D
22
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Which point does the graph of the parent function pass through?

Question illustration
A
(StartFraction square root of 3 over 3 EndFraction ,StartFraction pi over 3 EndFraction)
Option A
B
(StartFraction pi over 3 EndFraction , StartFraction square root of 3 over 3 EndFraction )
Option B
C
(StartFraction pi over 3 EndFraction , square root of 3)
Option C
D
( square root of 3 , StartFraction pi over 3 EndFraction)
Option D
23

The equation represents an ellipse.Which points are the vertices of the ellipse?

Question illustration
A
(−10, 0) and (10, 0)
B
(−2, 0) and (2, 0)
C
(0, −10) and (0, 10)
D
(0, −2) and (0, 2)
24

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

Question illustration
A
vertical compression of , horizontal stretch to a period of , vertical shift of 1 unit up, phase shift of units left
Option A
B
vertical stretch of 2, horizontal compression to a period of , vertical shift of 2 units up, phase shift of units left
Option B
C
vertical stretch of , horizontal compression to a period of , vertical shift of 1 unit up, phase shift of units left
Option C
D
vertical compression of , horizontal stretch to a period of , vertical shift of 1 unit down, phase shift of units left
Option D
25

Question text not available

Question illustration
A
x = −4.6 and x = 4.6
B
x = −3.5 and x = 3.5
C
y = −4.6 and y = 4.6
D
y = −3.5 and y = 3.5
26

The average daily temperature, t, in degrees Fahrenheit for a city as a function of the month of the year, m, can be modeled by the equation , where m = 0 represents January 1, m = 1 represents February 1, m = 2 represents March 1, and so on. Which equation also models this situation?

Question illustration
A
t = negative 35 sine (StartFraction pi Over 6 EndFraction m) + 55
Option A
B
t = negative 35 sine (StartFraction pi Over 6 EndFraction (m + 3)) + 55
Option B
C
t = 35 sine (StartFraction pi Over 6 EndFraction m) + 55
Option C
D
t = 35 sine (StartFraction pi Over 6 EndFraction (m + 3)) + 55
Option D

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