Find the Vertex, Focus, and Directrix of the Parabola $y^{2}=-12 x$

question 59

Multiple Choice

Find the vertex, focus, and directrix of the parabola.
- $y^{2}=-12 x$

• A)vertex: \( (0,0) \) focus: \( (-3,0) \) directrix: \( x=3 \)
• B) vertex: \( (0,0) \) focus: \( (3,0) \) directrix: \( x=-3 \)
• C) vertex: \( (0,0) \) focus: \( (0,-3) \) directrix: \( y=3 \)
• D) vertex: \( (0,0) \) focus: \( (0,-3) \) directrix: \( y=3 \)

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Definitions:

Reverse Fault

A fault in which the hanging wall moves up relative to the footwall.

Joint

A fracture in a rock where the rock has been pulled apart slightly without significant displacement parallel to the fracture.

Anticlines

Upward folds or arches of rock layers, often associated with oil and natural gas deposits.

Synclines

Geological folds that dip towards each other from opposite sides, often forming a trough-like structure.