Write the Equation of the Parabola That Has the Same $f ( x ) = - 3 x ^ { 2 } ; ( 3 , - 4 )$

question 203

Multiple Choice

Write the equation of the parabola that has the same shape as the given parabola but with the given vertex.
- $f ( x ) = - 3 x ^ { 2 } ; ( 3 , - 4 )$

• A) \(f ( x ) = - 3 ( x + 4 ) ^ { 2 } + 3\)
• B) \(f ( x ) = - 3 ( x - 4 ) ^ { 2 } + 3\)
• C) \(f ( x ) = - 3 ( x - 3 ) ^ { 2 } - 4\)
• D) \(f ( x ) = - 3 ( x + 3 ) ^ { 2 } - 4\)

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Definitions:

Connective

In logic and grammar, a word or expression that connects clauses or sentences, or the component that links elements within a proposition.

Compound Sentences

Sentences formed by connecting two or more independent clauses together, often with a coordinating conjunction or a semicolon.

Unexpressed Propositions

Propositions that are implied or understood within a larger argument or text but are not explicitly stated.

Connectives

Words or phrases that link clauses, sentences, or paragraphs (e.g., and, but, therefore).