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Absolute Value Translations
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Write the equation for this function.
g(x) = |x + 2| - 6
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Graph g(x) = |x| - 5 .
See image.
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Write the function for this graph.
g(x) = |x - 4|
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If you moved this function 3 units to the right, what would be the equation of the new function?
g(x) = |x - 1| + 3
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The vertex of this function is in which quadrant? h(x) = |x + 10| - 20
Quadrant III
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What is the vertex of this absolute value function?
(1, -1)
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Graph g(x) = |x - 1| .
See image.
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Write the equation of an absolute value function whose vertex is (5, 3).
g(x) = |x - 5| + 3
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What is the vertex of this absolute value function?
(-2, 4)
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If you moved the graph of f(x) = |x| by 4 units up and 8 units to the left, what would be the new function?
g(x) = |x + 8| + 4
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Write the function for this graph.
g(x) = |x| + 1
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The vertex of this function is in which quadrant? h(x) = |x - 5| - 20
Quadrant IV
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If you moved the graph of f(x) = |x| + 3 by 5 units to the left, what would be the equation for the new function?
g(x) = |x + 5| + 3
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Graph g(x) = |x + 5| + 2
See image.
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If you moved this function 3 units to the right, what would be the equation of the new function?
g(x) = |x - 6| + 1
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Write the equation for this function.
g(x) = |x - 3| -1
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Write the equation of an absolute value function whose vertex is (0, -7).
g(x) = |x| - 7
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Graph g(x) = |x + 3| .
See image.
Oops!
Okay!
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