Find the Vertex, Focus, and Directrix of the Parabola $x^{2}=-8 y$

question 128

Multiple Choice

Find the vertex, focus, and directrix of the parabola.
- $x^{2}=-8 y$

• A) vertex: \(( 0,0 )\) focus: \(( 0,2 )\) directrix: \(y = - 2\)
• B) vertex: \(( 0,0 )\) focus: \(( - 2,0 )\) directrix: \(x = 2\)
• C) vertex: \( (0,0) \) focus: \( (0,-2) \) directrix: \( y=2 \)
• D) vertex: \( (0,0) \) focus: \( (2,0) \) directrix: \( x=-2 \)

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Symmetry refers to a balance or congruence in dimensions, shape, and arrangement of parts on opposite sides of a boundary or through a central axis, which can be observed in physical objects, organisms, and designs.

Asymmetry

The lack of equality or equivalence between parts or aspects of something; not symmetrical.

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