Shift the Graph Of $f ( x ) = x ^ { 2 }$

question 25

Multiple Choice

Shift the graph of $f ( x ) = x ^ { 2 }$ by $6$ units to the left and then $4$ units downward, and choose the equation for the final transformed graph.

• A) \(f ( x ) = \left( x ^ { 2 } + 6 \right) - 4\)
• B) \(f ( x ) = ( x + 6 ) ^ { 2 } - 4\)
• C) \(f ( x ) = ( x + 4 ) ^ { 2 } + 6\)
• D) \(f ( x ) = ( x - 6 ) ^ { 2 } - 4\)
• E) \(f ( x ) = ( x - 4 ) ^ { 2 } + 6\)

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Definitions:

Variance

A measure of the dispersion, indicating how spread out the data points are from the mean.

Response Variable

Another word for the dependent variable of interest.

Regression Analysis

A statistical method used to model the relationship between a dependent variable and one or more independent variables.

Dependent Variable

In statistical modeling, this is the variable being tested and measured to see if it is affected by changes in the independent variables.