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Question 1 of 5Describe the transformation from f(x) to g(x).
$$f(x) = |x|$$ $$g(x) = 2|3x-9|+4$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
Vertically compressed by a factor of 2, horizontally compressed by a factor of 3, shifted right 3 units, and shifted up 4 units
B
Vertically compressed by a factor of 2, horizontally stretched by a factor of 3, shifted left 3 units, and shifted up 4 units
C
Vertically stretched by a factor of 2, horizontally stretched by a factor of 3, shifted left 3 units, and shifted up 4 units
D
Vertically stretched by a factor of 2, horizontally stretched by a factor of 3, shifted right 3 units, and shifted up 4 units
E
Vertically stretched by a factor of 2, horizontally compressed by a factor of 3, shifted right 3 units, and shifted up 4 units
Question 2 of 5Describe the transformation from f(x) to g(x).
$$f(x) = x^2$$ $$g(x) = -3\left(\frac{1}{4}x - 2\right)^2 + 1$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
Reflected across the x-axis, vertically stretched by a factor of 3, horizontally stretched by a factor of 4, shifted right 8 units, and shifted up 1 unit
B
Reflected across the y-axis, vertically stretched by a factor of 3, horizontally stretched by a factor of 4, shifted right 8 units, and shifted up 1 unit
C
Reflected across the x-axis, vertically stretched by a factor of 3, horizontally compressed by a factor of 4, shifted right 8 units, and shifted up 1 unit
D
Reflected across the x-axis, vertically stretched by a factor of 3, horizontally compressed by a factor of 4, shifted left 8 units, and shifted up 1 unit
E
Reflected across the y-axis, vertically stretched by a factor of 3, horizontally stretched by a factor of 4, shifted right 8 units, and shifted down 1 unit
Question 3 of 5Describe the transformation from f(x) to g(x).
$$f(x) = \sqrt[3]{x}$$ $$g(x) = -2\sqrt[3]{\frac{1}{2}x - 1} + 3$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
Reflected across the x-axis, vertically stretched by a factor of 2, horizontally compressed by a factor of 2, shifted left by 2 units, and shifted up by 3 units
B
Reflected across the x-axis, vertically stretched by a factor of 2, horizontally stretched by a factor of 2, shifted right by 2 units, and shifted down by 3 units
C
Reflected across the x-axis, vertically stretched by a factor of 2, horizontally stretched by a factor of 2, shifted right by 2 units, and shifted up by 3 units
D
Reflected across the x-axis, vertically stretched by a factor of 2, horizontally stretched by a factor of 2, shifted right by 1 unit, and shifted up by 3 units
E
Reflected across the x-axis, vertically stretched by a factor of 2, horizontally compressed by a factor of 2, shifted left by 1 unit, and shifted up by 3 units
Question 4 of 5Describe the transformation from f(x) to g(x).
$$f(x) = \sqrt{x}$$ $$g(x) = \frac{1}{2}\sqrt{-2x - 4} - 1$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
Vertically compressed by a factor of 2, reflected across the y-axis, horizontally stretched by a factor of 2, shifted right by 4 units, and shifted down by 1 unit
B
Vertically compressed by a factor of 2, reflected across the y-axis, horizontally stretched by a factor of 2, shifted left by 4 units, and shifted down by 1 unit
C
Vertically compressed by a factor of 2, reflected across the y-axis, horizontally compressed by a factor of 2, shifted left by 4 units, and shifted down by 1 unit
D
Vertically compressed by a factor of 2, reflected across the y-axis, horizontally compressed by a factor of 2, shifted left by 2 units, and shifted down by 1 unit
E
Vertically compressed by a factor of 2, reflected across the x-axis, horizontally compressed by a factor of 2, shifted left by 2 units, and shifted down by 1 unit
Question 5 of 5Describe the transformation from f(x) to g(x).
$$f(x) = \frac{1}{x}$$ $$g(x) = -\frac{2}{\frac{1}{4}x + 1} - 1$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
Reflected across the x-axis, vertically stretched by a factor of 2, horizontally stretched by a factor of 4, shifted right by 4 units, and shifted down by 1 unit
B
Reflected across the x-axis, vertically stretched by a factor of 2, horizontally stretched by a factor of 4, shifted left by 4 units, and shifted down by 1 unit
C
Reflected across the x-axis, vertically compressed by a factor of 2, horizontally stretched by a factor of 4, shifted left by 4 units, and shifted down by 1 unit
D
Reflected across the x-axis, vertically compressed by a factor of 2, horizontally stretched by a factor of 4, shifted left by 4 units, and shifted up by 1 unit
E
Reflected across the x-axis, vertically stretched by a factor of 2, horizontally stretched by a factor of 4, shifted right by 1 unit, and shifted down by 1 unit

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