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:

Intrusive Contact

The boundary between intrusive igneous rocks and the surrounding country rock into which they have intruded.

Axial Surface

A surface that connects the hinge lines in a fold.

Overturned Anticline

A geological fold where the layers have been tilted past vertical, making the older layers overlie the younger ones.

Inclined Syncline

A fold in sedimentary strata that slopes downward on both sides from the crest.