AnswersEAP-Algebra Functions and Data Analysis A CRTransformations of Functions

Transformations of Functions — Unit test Answers

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Which of the following are in correct order from greatest to least?

A
, 330°, , ,
Option A
B
, , , , 330°
Option B
C
, , , , 330°
Option C
D
330°, , , ,
Option D
2
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Which values for have the same reference angles?

Question illustration
A
, ,
Option A
B
, ,
Option B
C
, ,
Option C
D
, ,
Option D
3

Which is the graph of the function ?

Question illustration
A
On a coordinate plane, the x axis ranges from negative pi to pi with an interval of pi by 4 units and the y axis ranges from negative 6 to 6 with an interval of 2 units. It shows a curve that oscillates between positive and negative infinity as x approaches multiples of pi. The curve has vertical asymptotes at x equals plus or minus n times pi by 2. The curve crosses the x axis at (pi comma 0), (0 comma 0) and (negative pi comma 0).
Option A
B
On a coordinate plane, the x axis ranges from negative pi to pi with an interval of pi by 4 units and the y axis ranges from negative 6 to 6 with an interval of 2 units. It shows a curve that oscillates between positive and negative infinity as x approaches multiples of pi. The curve has vertical asymptotes at x equals plus or minus n times pi by 2. The curve crosses the x axis at (pi comma 0), (0 comma 0) and (negative pi comma 0).
Option B
C
On a coordinate plane, the x axis ranges from negative pi to pi with an interval of pi by 4 units and the y axis ranges from negative 6 to 6 with an interval of 2 units. It shows a curve that oscillates between positive and negative infinity as x approaches multiples of pi. The curve has vertical asymptotes at x equals plus or minus n times pi by 4. The curve crosses the x axis at (pi by 2 comma 0) and (negative 3 pi by 4 comma 0). The y-intercept is at (0 comma negative 2).
Option C
D
On a coordinate plane, the x axis ranges from negative pi to pi with an interval of pi by 4 units and the y axis ranges from negative 6 to 6 with an interval of 2 units. It shows a curve that oscillates between positive and negative infinity as x approaches multiples of pi. The curve has vertical asymptotes at x equals plus or minus n times pi by 4. The curve crosses the x axis at (pi by 2 comma 0) and (negative 3 pi by 4 comma 0). The y-intercept is at (0 comma negative 1).
Option D
4

Angle B has a measure between 0° and 360° and is coterminal with a –865° angle. What is the measure of angle B?

A
110°
B
115°
C
210°
D
215°
5

An angle that shares the same sine value of an angle that measures radians is located where?

Question illustration
A
Quadrant I
B
Quadrant II
C
Quadrant IV
D
along an axis
6

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
7

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?

Question illustration
A
Since the y-intercept of the graph is , the graph of the parent function was translated 0.5 units down, and since the graph passes through the point instead of , the graph was vertically compressed.
Option A
B
Since the y-intercept of the graph is , the graph of the parent function was translated 0.5 units down, and since the graph passes through the point instead of , the graph was vertically stretched.
Option B
C
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.
Option C
D
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 stretched.
Option D
8

On a unit circle, the vertical distance from the x-axis to a point on the perimeter of the circle is twice the horizontal distance from the y-axis to the same point. What is sin?

Question illustration
A
One-fifth
Option A
B
StartFraction StartRoot 5 EndRoot Over 5 EndFraction
Option B
C
StartFraction 2 StartRoot 5 EndRoot Over 5 EndFraction
Option C
D
2
Option D

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