Write an Equation for the Graph Obtained by Shifting the Graph

question 9

Essay

Write an equation for the graph obtained by shifting the graph of $y=x^{3}$
vertically upward by 3 units, followed by vertically stretching the graph by a factor of 2 and reflecting the graph across the $x -$ axis.

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Definitions:

Semantic

Relates to the meanings of words and phrases in language.

Semantics

The study of meaning in language, focusing on the relationship between signifiers, like words, phrases, signs, and symbols, and what they stand for.

Syntax

A set of rules for arranging words and phrases to create well-formed sentences in a language.

Symbolic Structure

The use of symbols and signs in a systematic way to represent ideas or concepts in communication.