Provide an Appropriate Response $f ( x ) = a ( x - h ) ^ { 2 } +$

question 525

Essay

Provide an appropriate response.
-Why is it not possible to choose h and k, neither zero, so the parabola $f ( x ) = a ( x - h ) ^ { 2 } +$ k has its vertex at the
origin?

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Definitions:

Subduction Zone

A region of the Earth's crust where tectonic plates converge, and one plate moves under another, often creating volcanic and seismic activity.

Magma

Molten rock located beneath the Earth's surface, which can form igneous rocks when it cools and solidifies.

Passive Margin

A continental margin that is not associated with a plate boundary and generally experiences less tectonic activity, often featuring thick sediment deposits.

Supercontinent

A massive landmass consisting of all, or nearly all, of the Earth's continents merged together, which has formed and broken apart several times in Earth's history.