Write the Equation of the Graph After the Indicated Transformation(s) $y = x ^ { 2 }$

question 125

Multiple Choice

Write the equation of the graph after the indicated transformation(s) .
-The graph of $y = x ^ { 2 }$ is shifted 2 units to the left. This graph is then vertically stretched by a factor of 6 and reflected across the $x$ -axis. Finally, the graph is shifted 8 units downward.

• A) \(y = - 6 ( x + 8 ) ^ { 2 } - 2\)
• B) \(y = - 6 ( x + 2 ) ^ { 2 } - 8\)
• C) \(y = - 6 ( x - 2 ) ^ { 2 } + 8\)
• D) \(y = - 6 ( x - 2 ) ^ { 2 } - 8\)

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Definitions:

Electron Transport Chain

A series of protein complexes and small organic molecules within cell membranes that transfer electrons, driving the synthesis of ATP.

ATP Synthesis

The process of creating adenosine triphosphate (ATP), the cellular energy currency, primarily through cellular respiration in mitochondria or photosynthesis in chloroplasts.

Anaerobic Respiration

A form of respiration where energy is produced in the absence of oxygen, utilizing other electron acceptors and producing different end products.

Terminal Electron Acceptor

A compound that receives or accepts an electron during cellular respiration or photosynthesis, allowing for the process of energy generation to conclude.