The Vertex of a Parabola Occurs Where the Derivative of Its

question 197

Multiple Choice

The vertex of a parabola occurs where the derivative of its equation is 0, so an equation associated with the equation of a
parabola can be solved to find the x-coordinate of the vertex. Find the vertex of the parabola, given the equation of the
parabola and its associated equation.
-Between $x = - 5$ and $x = 10$ , the largest value of the expression $y = x ^ { 3 } - 6 x ^ { 2 } - 63 x - 13$ occurs where $3 x ^ { 2 } - 12 x - 63 = 0$ . Of the values of $x$ that satisfy $3 x ^ { 2 } - 12 x - 63 = 0$ , which gives the maximum value of $y = x ^ { 3 } - 6 x ^ { 2 } - 63 x - 13 ?$

• A) \(x = 13\)
• B) \(x = - 3\)
• C) \(x = 7\)
• D) \(x = - 5\)

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Definitions:

Issue Management

The process of identifying, managing, and mitigating problems or opportunities that could impact an organization.

Crisis Impact Stage

The phase in a crisis during which the effects are felt or experienced most acutely.

Coombs' Model

Coombs' Model, also known as the Situational Crisis Communication Theory (SCCT), is a framework used to outline the communication strategies that an organization should employ in response to a crisis in order to protect its reputation.

Company Reputation

The collective assessment by the public of a company's actions, ethics, and ability to deliver desired outcomes.