Describe the Transformations Required to Obtain the Graph of the Function

question 116

Multiple Choice

Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x) .
- $$f ( x ) = - 2 \cos \frac { \pi x } { 7 } ; g ( x ) = \cos x$$

• A) Horizontal stretch by a factor \(\frac { 7 } { \pi }\), vertical stretch by a factor of 2 , reflection across \(x\)-axis
• B) Horizontal shrink by a factor \(\frac { \pi } { 7 }\) vertical shrink by a factor of \(\frac { 1 } { 2 }\), reflection across \(y\)-axis
• C) Horizontal stretch by a factor \(\frac { 7 } { \pi }\), vertical stretch by a factor of 2 , reflection across y-axis
• D) Horizontal shrink by a factor \(\frac { \pi } { 7 }\), vertical stretch by a factor of 2 , reflection across \(x\)-axis

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Definitions:

Pancreatic Juices

Digestive fluids produced by the pancreas that contain enzymes to help break down carbohydrates, proteins, and fats.

Bile

A digestive fluid produced by the liver and stored in the gallbladder, involved in the digestion of fats.

Small Intestine

A long, coiled part of the digestive system where most of the digestion and absorption of nutrients occurs.

Diarrhea

A condition characterized by frequent and watery bowel movements, often indicating gastrointestinal distress or infection.