Find the Vertex, Focus, and Directrix of the Parabola with the Given

question 154

Multiple Choice

Find the vertex, focus, and directrix of the parabola with the given equation.
- $$( y + 1 ) ^ { 2 } = 16 ( x + 3 )$$

• A) vertex: \(( - 3 , - 1 )\)
• focus: \(( - 7 , - 1 )\)
• directrix: \(x = 1\)
• B) vertex: \(( - 1 , - 3 )\)
• focus: \(( 3 , - 3 )\)
• directrix: \(x = - 5 \quad\)
• C) vertex: \(( - 3 , - 1 )\)
• focus: \(( 1 , - 1 )\)
• directrix: \(x = - 7\)
• D) vertex: \(( 3,1 )\)
• focus: \(( 7,1 )\)
• directrix: \(x = - 1\)

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Definitions:

Driving Forces

Factors that actively contribute to the movement, change, or development of certain processes or outcomes.

Unfreezing

The initial phase in the change process where existing behaviors, attitudes, or norms are challenged and destabilized.

Lewin's Basic Change Model

A three-stage theory of change that describes the process as unfreeze, change, and refreeze, used to manage change within an organization.

Status Quo

The existing state of affairs or conditions, often used in context to suggest a resistance to change.