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

question 139

Multiple Choice

Write the equation of the graph after the indicated transformation(s) .
-The graph of $y = x ^ { 2 }$ is shifted 4 units to the right. This graph is then vertically stretched by a factor of 6 and reflected across the $x$ -axis. Finally, the graph is shifted 8 units upward.

• A) \(y = - 6 ( x - 4 ) ^ { 2 } - 8\)
• B) \(y = - 6 ( x + 8 ) ^ { 2 } + 4\)
• C) \(y = - 6 ( x - 4 ) ^ { 2 } + 8\)
• D) \(y = - 6 ( x + 4 ) ^ { 2 } + 8\)

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Definitions:

Nerves

Bundles of fibers that transmit impulses of sensation to the brain or spinal cord, and from the brain or spinal cord to the muscles and organs.

Held Together

A phrase indicating how parts are united or combined to form a whole.

Organelle

A specialized subunit within a cell that has a specific function, such as mitochondria, ribosomes, or the nucleus.

Ribosome

A cell organelle composed of RNA and protein, responsible for synthesizing proteins by translating messenger RNA.