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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Definitions:

Inductive Argument

A form of reasoning where the conclusion is supported by the premises but is not guaranteed to be true.

Deductive Argument

A logical process where the conclusion is based on the concordance of multiple premises that are generally considered to be true.

Conclusion

The final part of something, especially a summary of the arguments or a final decision reached after reasoning.

Cogent

An argument that is convincing or believable by virtue of clear, logical presentation.