Find the Standard Form of the Equation of the Parabola $x ^ { 2 } = \frac { 36 } { 8 } y$

question 27

Multiple Choice

Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin. ​
Vertical axis and passes through the point (6,8)
​

• A) \(x ^ { 2 } = \frac { 36 } { 8 } y\)
• B) \(y ^ { 2 } = \frac { 8 } { 36 } x\)
• C) \(x ^ { 2 } = \frac { 8 } { 36 } y\)
• D) \(y ^ { 2 } = x\)
• E)​ \(y ^ { 2 } = \frac { 36 } { 8 } x\)

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Definitions:

Conservation Skills

Cognitive abilities described by Piaget where a child understands that certain properties of objects remain the same despite changes in their form or arrangement.

Deferred Imitation

A cognitive behavior in which an individual reproduces the actions of others after a delay.

Visible Imitation

The act of copying someone’s actions or behaviors that are observed, as a form of learning or social interaction.

Object Permanence

The understanding that objects continue to exist even when they cannot be seen, heard, or touched.