Explain How the Graph Of $g ( x ) = - \sqrt [ 3 ] { x + 1 }$

question 27

Multiple Choice

Explain how the graph of $g ( x ) = - \sqrt [ 3 ] { x + 1 }$ is obtained from the graph of $f = \sqrt [ 3 ] { x }$

• A) Shift the graph of \(f\) one unit to the left, then reflect about the
• \(y\) - axis.
• B) Shift the graph of \(f\) one unit to the left, then reflect about the
• \(y\) - axis .
• C) Shift the graph of \(f\) one unit up, reflect about the
• \(x\) - axis and stretch vertically by a factor of
• \(\frac { 1 } { 3 }\).
• D) Shift the graph of \(f\) one unit to the left, then reflect about the
• \(x\) - axis.
• E) Shift the graph of \(f\) one unit down, reflect about the
• \(x\) - axis and stretch vertically by a factor of
• \(\frac { 1 } { 3 } \text {. }\)

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Definitions:

Steppe

A large area of flat, unforested grassland, especially in southeastern Europe or Siberia.

Pampas

Vast, fertile grasslands found in South America, particularly in Argentina, Uruguay, and southern Brazil, used for grazing and agriculture.

Grazing Herbivores

Animals that feed on plants by cropping them close to the ground, often playing a crucial role in maintaining the health of ecosystems.

Grasslands

Ecosystems dominated by grasses and other herbaceous plants, often found in regions with intermediate rainfall.