Sketch the Graph of the Function $f(x)=-2(x-2)$ A) Shift $y = 2 ^ { x }$

question 3

Multiple Choice

Sketch the graph of the function. Describe how the graph can be obtained from the graph of a basic exponential function.
- $f(x) =-2(x-2)$

• A) Shift \(y = 2 ^ { x }\) left 2 unit(s) and reflect across the \(x\)-axis
• B) Reflect \(y = 2 ^ { x }\) and across the \(x\)-axis
• C) Reflect \(y = 2 ^ { x }\) across the \(x\)-axis and shift up 2 unit(s)
• D) Shift \(y = 2 ^ { x }\) right 2 unit(s) and reflect across the the \(x\)-axis

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Definitions:

Primary Circular Reactions

Early repetitive behaviors observed in infants, centered on their own bodies, serving as a foundational mechanism for learning and developing new skills.

Tertiary Circular Reactions

The stage in Piaget's theory of cognitive development where infants explore their environment and learn through trial and error experimentation.

Coordination

The organized and harmonious action of different parts of an organism or group to achieve a specific function or effect.

Secondary Circular Reactions

Secondary circular reactions, a concept in Piaget's theory of cognitive development, refer to the repetition of actions that produce an effect on the environment, observed in infants aged 4-8 months.