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

question 52

Multiple Choice

Find the standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin. ​
Passes through the point (2,4) ;horizontal axis
​

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

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Definitions:

Flammable Compounds

Substances that can ignite easily and burn rapidly, typically releasing heat and light.

Smoke Explosion

A sudden and intense combustion of suspended particles in a confined area, resulting from a mixture of air and combustible materials.

Backdraft

A dangerous explosive phenomenon that can occur when a fire is starved of oxygen and then oxygen is suddenly reintroduced, often during firefighting efforts.

Water Content

The amount of water contained in a material, expressed as a weight percentage of the material.