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:

Leydig Cells

Cells located within the testes that produce testosterone in response to luteinizing hormone.

Androgens

Androgens are a group of steroid hormones that play a key role in male traits and reproductive activity, present in both males and females.

Testes

The male reproductive glands where sperm and male sex hormones (such as testosterone) are produced.

Cryptorchidism

A condition where one or both of the testes fail to descend from the abdomen into the scrotum before birth.