Describe the Transformations Required to Obtain the Graph of the Function

question 251

Multiple Choice

Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x) .
- $$f ( x ) = 3 \cos x ; g ( x ) = \cos x$$

• A) Horizontal stretch by a factor of 3
• B) Vertical stretch by a factor of 3
• C) Vertical shrink by a factor of \(\frac { 1 } { 3 }\)
• D) Horizontal shrink by a factor of \(\frac { 1 } { 3 }\)

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Definitions:

Annual Precipitation

The total amount of rain, snow, sleet, or hail that falls in a given area over the course of a year.

Temperate Rain Forest

Forests in temperate regions that receive high rainfall, characterized by a high density of coniferous or broadleaf trees.

Tropical Rain Forest

A hot, moist biome found near Earth's equator, known for its dense canopy of biodiversity.

Shortgrass Prairie

A grassland ecosystem characterized by the dominance of shortgrass species, adapted to arid conditions and grazing pressure, found in the central United States and other parts of the world.