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ioda
3 years ago
6

The graph of g(x) is a reflection and translation of f (x) = RootIndex 3 StartRoot x EndRoot.

Mathematics
1 answer:
Korvikt [17]3 years ago
4 0

Answer:

  -∛(x-1)

Step-by-step explanation:

The point of inflection at (1, 0) means the graph has been translated 1 unit to the right. The point (2, -1) on the curve means it has been reflected across the x-axis.

Those conditions are met by ...

  g(x) = -∛(x -1)

__

Translation "h" units to the right is accomplished by replacing x with (x-h) in a function definition. Reflection across the x-axis is accomplished by negating the output of the function. That is, ∛x has been transformed to -∛(x-1).

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3 years ago
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pentagon [3]

Option A:

\mathrm{ABCD} \sim \mathrm{GFHE}

Solution:

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BC = FH (side)

CD = HE (side)

DA = EG (side)

So, \mathrm{ABCD} \sim \mathrm{GFHE} is the correct way to complete the statement.

Option B: \mathrm{ABCD} \sim \mathrm{EGFH}

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Option C: \mathrm{ABCD} \sim \mathrm{FHEG}

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Option D: \mathrm{ABCD} \sim \mathrm{HEGF}

In the given image length of AB ≠ HE.

So, \mathrm{ABCD} \sim \mathrm{HEGF} is the not the correct way to complete the statement.

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3 years ago
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