Write an Equation for a Function That Has a Graph $y = x ^ { 3 }$

question 111

Short Answer

Write an equation for a function that has a graph with the given characteristics.
-The shape of $y = x ^ { 3 }$ is shifted 8.1 units to the right and then vertically shrunk by a factor of 0.4 .
A) $f ( x ) = 0.4 ( x - 8.1 ) ^ { 3 }$
B) $f ( x ) = 8.1 ( x - 0.4 ) ^ { 3 }$
C) $f ( x ) = 0.4 ( x + 8.1 ) ^ { 3 }$
D) $f ( x ) = 0.4 x ^ { 3 } + 8.1$

• A) \(f ( x ) = 0.4 ( x - 8.1 ) ^ { 3 }\)
• B) \(f ( x ) = 8.1 ( x - 0.4 ) ^ { 3 }\)
• C) \(f ( x ) = 0.4 ( x + 8.1 ) ^ { 3 }\)
• D) \(f ( x ) = 0.4 x ^ { 3 } + 8.1\)

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Definitions:

Straight-Line Method

A method of calculating depreciation by evenly spreading the cost of an asset over its useful life.

Adjusting Entry

A journal entry made at the end of an accounting period to allocate income and expenditures to the period in which they actually occurred.

Straight-Line Method

A method of calculating depreciation or amortization by evenly allocating the cost of an asset over its useful life.

Adjusting Entry

A journal entry made at the end of an accounting period to allocate income and expenditures to the correct period for accurate financial reporting.