Find the Standard Form of the Equation of the Parabola $y ^ { 2 } = 8 x$

question 87

Multiple Choice

Find the standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin. ​
Focus: (0,-2)
​

• A) \(y ^ { 2 } = 8 x\)
• B) \(x ^ { 2 } = - 8 y\)
• C) \(y ^ { 2 } = - 8 x\)
• D) \(x ^ { 2 } = 8 y\)
• E) \(x ^ { 2 } = - \frac { y } { 8 }\)

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Definitions:

Algorithm

A step-by-step procedure or formula for solving a problem or completing a task, often used in computing and mathematics.

Subgoals

Smaller, achievable objectives set as steps toward reaching a larger goal, facilitating problem-solving and task completion.

Availability Heuristic

A mental shortcut that relies on immediate examples that come to mind when evaluating a specific topic, concept, method, or decision.

Representativeness Heuristic

The representativeness heuristic is a cognitive bias where people judge the probability of an event or the likelihood of an object belonging to a category by how much it resembles a typical case.