Solve the Problem $y ^ { 2 } = - 10 x$

question 302

Multiple Choice

Solve the problem.
-The parabola $y ^ { 2 } = - 10 x$ is shifted down 5 units and left 7 units. Find an equation for the new parabola and find the new vertex.

• A) \(( y + 7 ) ^ { 2 } = - 10 ( x + 5 )\); vertex; \(( - 5 , - 7 )\)
• B) \(( y + 5 ) ^ { 2 } = - 10 ( x + 7 )\); vertex; \(( - 7 , - 5 )\)
• C) \(( y - 5 ) ^ { 2 } = - 10 ( x - 7 ) ;\) vertex; \(( - 7 , - 5 )\)
• D) \(( y - 7 ) ^ { 2 } = - 10 ( x - 5 )\); vertex; \(( - 5 , - 7 )\)

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Definitions:

Second Law

Also known as the second law of thermodynamics, it states that the total entropy of an isolated system can never decrease over time, and is central to the direction of heat transfer and the efficiency of heat engines.

Entropy

A measure of the disorder or randomness in a system, often associated with the second law of thermodynamics.

Disorder

A disruption to regular bodily structure and function, leading to disease or ailment.

Heat

A form of energy transfer between two substances or systems due to a temperature difference.