Find the Standard Form of the Equation of the Parabola $y ^ { 2 } = - 16 x$

question 36

Multiple Choice

Find the standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin. ​
Directrix: x = -4
​

• A) \(y ^ { 2 } = - 16 x\)
• B) \(y ^ { 2 } = 16 x\)
• C) \(x ^ { 2 } = - 16 y\)
• D) \(x ^ { 2 } = 16 y\)
• E) \(y ^ { 2 } = \frac { x } { 16 }\)

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Definitions:

Sign Test

A non-parametric test used to evaluate the difference in medians from a pair of related samples, assuming nothing about the distribution of the differences.

Wilcoxon Signed Rank

A statistical test that doesn't rely on parameter assumptions, designed for comparing two related samples, matched pairs, or repeated measures on a single sample to determine if there's a difference in their mean ranks across populations.

Matched Pairs

A study design where subjects are paired based on certain criteria to compare two treatments or conditions, with each subject in the pair receiving a different treatment.

Interval Data

A type of data with ordered values where the difference between any two values is meaningful, but it lacks a true zero point.