Cumulative Exam — Cumulative exam Answers
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21
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Which transformations are needed to change the parent sine function to the sine function below?
A
vertical compression of , horizontal stretch to a period of , vertical shift of 1 unit up, phase shift of units left
B
vertical stretch of 2, horizontal compression to a period of , vertical shift of 2 units up, phase shift of units left
C
vertical stretch of , horizontal compression to a period of , vertical shift of 1 unit up, phase shift of units left
D
vertical compression of , horizontal stretch to a period of , vertical shift of 1 unit down, phase shift of units left
22
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Which system is equivalent to
A
StartLayout Enlarged left-brace 1st row 5 minus x = 9 x squared 2nd row y = 5 minus x EndLayout
B
StartLayout Enlarged left-brace 1st row y = 9 y squared minus 90 y + 225 2nd row x = y minus 5 EndLayout
C
StartLayout Enlarged left-brace 1st row 5 + x = 9 x squared 2nd row y = 5 + x EndLayout
D
StartLayout Enlarged left-brace 1st row y = 3 x 2nd row x + 3 x = 5 EndLayout
23
Which statement describes the graph of this polynomial function?
A
The graph crosses the x-axis at x = 2 and x = –1 and touches the x-axis at x = 0.B
The graph touches the x-axis at x = 2 and x = –1 and crosses the x-axis at x = 0.C
The graph crosses the x-axis at x = –2 and x = 1 and touches the x-axis at x = 0.D
The graph touches the x-axis at x = –2 and x = 1 and crosses the x-axis at x = 0.24
Which is a factor of f(x) = 60x4 + 86x3 – 46x2 – 43x + 8? Use the Rational Root Theorem to help you find your answer.
A
x – 6B
5x – 8C
6x – 1D
8x + 525
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?
A
One-fifth
B
StartFraction StartRoot 5 EndRoot Over 5 EndFraction
C
StartFraction 2 StartRoot 5 EndRoot Over 5 EndFraction
D
2
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