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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