The Graph of the Function $f ( x ) = x ^ { 2 } - 11 x + 7$

question 18

Multiple Choice

The graph of the function $f ( x ) = x ^ { 2 } - 11 x + 7$ has been stretched horizontally by a factor of 2 . Find the function for the transformed graph.

• A) \(g ( x ) = \frac { x ^ { 2 } - 11 x + 7 } { 2 }\)
• B) \(g ( x ) = 2 x ^ { 2 } - 22 x + 14\)
• C) \(g ( x ) = \frac { x ^ { 2 } - 22 x + 28 } { 4 }\)
• D) \(g ( x ) = 4 x ^ { 2 } - 22 x + 7\)

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Definitions:

Visual Angle

A measure of the size of an object's image on the retina, relative to the observer's distance from the object.

Pyramid

A geometric solid shape with a polygonal base and triangular sides that converge to a single point at the top; also used to describe hierarchical structures in sociological and ecological contexts.

Gestalt Theorists

Psychologists who emphasize that the whole of anything is greater than its parts, focusing on patterns and configurations in human perception.

Figure-ground Reversals

A visual perception phenomenon where the viewer can switch between seeing a figure (object) and its surroundings as the background, or vice versa.