Find the Vertex, Focus, Directrix, and Focal Width of the Parabola

question 57

Multiple Choice

Find the vertex, focus, directrix, and focal width of the parabola.
- $$( y + 7 ) ^ { 2 } = 12 ( x + 3 )$$

• A) Vertex: \(( - 7 , - 3 )\); Focus: \(( - 7,0 )\); Directrix: \(y = - 6\); Focal width: 3
• B) Vertex: \(( - 7 , - 3 )\); Focus: \(( - 7,9\); Directrix: \(y = - 15\); Focal width: 12
• C) Vertex: \(( - 3 , - 7 )\); Focus: \(( 0 , - 7 )\); Directrix: \(x = - 6\); Focal width: 12
• D) Vertex: \(( - 3 , - 7 )\); Focus: \(( 9 , - 7 )\); Directrix: \(x = - 15\); Focal width: 12

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Definitions:

Neuron

A nerve cell that is the basic building block of the nervous system, responsible for receiving, processing, and transmitting information through electrical and chemical signals.

Fires

Rapid oxidation processes that release heat, light, and various reaction products, usually visible as flames.

Full Strength

The maximum capacity or concentration, especially referring to solutions, mixtures, or physical condition.

Dendrites

The branched projections of a neuron that receive signals from other neurons and transmit them to the cell body.