The Function Graphed Is of the Form $$y = \cos x + c , y = \sin x + c , y = \cos ( x - d ) , \text { or } y = \sin ( x - d )$$

question 179

Multiple Choice

The function graphed is of the form $$y = \cos x + c , y = \sin x + c , y = \cos ( x - d ) , \text { or } y = \sin ( x - d )$$ where d is the least possible
positive value. Determine the equation of the graph.
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• A) \(\cos x - \frac { \pi } { 4 }\)
• B) \(\sin \left( x - \frac { \pi } { 4 } \right)\)
• C) \(\cos \left( x - \frac { \pi } { 4 } \right)\)
• D) \(\cos \left( x - \frac { \pi } { 2 } \right)\)

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Definitions:

Classical Art

An art form originating in ancient Greece and Rome, notable for its emphasis on harmony, proportion, and adherence to recognized standards of form and craftsmanship.

Avignon Papacy

The period from 1309 to 1376 during which seven successive popes resided in Avignon, France rather than in Rome, leading to a significant schism within the Catholic Church.

Florentine Academy

An institution founded in Florence, Italy, in 1563, aimed at studying and promoting the arts, particularly painting, sculpture, and architecture.

Mendicant Orders

Religious orders in Christianity whose members live in poverty and rely on charity and preaching for survival, such as the Franciscans and Dominicans.