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1. |
Describe how the graphs of f(x) = |2x| and g(x) = -|2x| are related. |
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A. |
The graph of g(x) is a reflection of the graph of f(x) over the x- and y-axes. |
B. |
The graph of g(x) is a reflection of the graph of f(x) over the x-axis. |
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C. |
The graph of g(x) is a reflection of the graph of f(x) over the y-axis. |
D. |
None are true. |
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Hint |
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2. |
If you use the parent graph y = x2 as a reference, describe how you would graph y = -x2 - 3. |
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A. |
Reflect the parent graph over the y-axis and then move the graph down 3 units. |
B. |
Reflect the parent graph over the y-axis and then move the graph to the left 3 units. |
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C. |
Reflect the parent graph over the x-axis and then move the graph down 3 units. |
D. |
Reflect the parent graph over the x-axis and then move the graph up 3 units. |
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Hint |
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3. |
If you use the parent graph as a reference, describe how you would graph . |
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A. |
Compress horizontally by a factor of , then move 4 units down. |
B. |
Compress vertically by a factor of , then move 4 units down. |
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C. |
Expand horizontally by a factor of , then move 4 units down. |
D. |
Expand vertically by a factor of 3, then move 4 units down. |
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Hint |
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4. |
If you use y = x3 as a reference graph, describe how you would graph y = (x + 3)3 - 4. |
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A. |
Move 3 units to the right, then 4 units down. |
B. |
Move 3 units to the left, then 4 units down. |
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C. |
Move 3 units down, then move 4 units to the right. |
D. |
Move 3 units up, then move 4 units to the left. |
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Hint |
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5. |
Sketch the graph of the function f(x) = (x + 1)3 + 2. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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