Find an Equation of the Tangent Line to the Graph $( 3 , - 30 )$

question 115

Multiple Choice

Find an equation of the tangent line to the graph of the following function at the point $( 3 , - 30 )$ .
$$- 3 x ^ { 2 } - 3$$

• A) \(y = - 18 x - 84\)
• B) \(y = - 18 x + 84\)
• C) \(y = - 18 x + 24\)
• D) \(y = 180 x + 570\)
• E) \(y = 180 x - 570\)

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Definitions:

Mechanics of Thinking

The underlying processes and structures involved in the act of thinking, including perception, cognition, and memory.

Logical Thinking Skills

The ability to reason, form judgements, and use deductive and inductive reasoning in an organized and rational manner.

Seriation Task

A cognitive development task that evaluates a child's ability to organize objects in a sequence based on certain attributes like size or color.

Metacognitive Skills

Abilities related to understanding, controlling, and manipulating one's own cognitive processes, such as learning, memory, and problem-solving.