Write an Equation for the Function That Is Described by the Given

question 59

Multiple Choice

Write an equation for the function that is described by the given characteristic. The shape of $f ( x ) = x ^ { 3 }$ , but shifted 18 units to the right.

• A) \(g ( x ) = ( x + 18 )\)
• B) \(g ( x ) = - ( x - 18 ) ^ { 3 }\)
• C) \(g ( x ) = ( x + 18 ) ^ { 3 }\)
• D) \(g ( x ) = ( x - 18 ) ^ { 3 }\)
• E) \(g ( x ) = - ( x + 18 ) ^ { 3 }\)

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Definitions:

Vertical Axis

The vertical number line of a graph along which values of the y-variable are measured; also referred to as the y-axis.

Linear Relationship

The relationship between two variables in which the slope is constant and therefore is depicted on a graph by a curve that is a straight line.

Quantity Supplied

The total amount of a good or service that producers are willing and able to sell at a particular price over a specified period.

Quantity Demanded

The overall volume of a good or service that buyers are eager and capable of acquiring at a certain price within a specific period.