Graph the Function by Hand, Not by Plotting Points, but by Starting

question 157

Essay

Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard functions and then applying the appropriate transformations.
$$y = 4 + 2 x - x ^ { 2 }$$

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Definitions:

Cognitive Development

Refers to the growth and change in intellectual capabilities such as thinking, reasoning, and understanding.

Sensorimotor

The first stage in Piaget's theory of cognitive development, occurring from birth to about 2 years of age, where infants learn about the world through their sensory and motor interactions.

Preoperational

A stage in Piaget's theory of cognitive development, occurring from approximately ages 2 to 7, marked by the emergence of symbolic thought and egocentrism but a lack of operational logic.

Retained That Learning

The process of keeping and integrating knowledge or skills in long-term memory that have been acquired previously.