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An arch is in the shape of a parabola. It has a span of 450 feet and a maximum height of 25 feet.

Arches Nat Park: Landscape Arch Wayne Stadler CC-by-nc-nd

Find the equation of the parabola (assuming the origin is halfway between the arch's feet).  

Determine the height of the arch 144 feet from the center.


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MathQuill
   x  x  √  n√  |   | (   ) π ∞ DNE
   x  √  (   ) π ∞ DNE
( ) ( ] [ ) [ ] —∞ ∞ ∪ DNE
< > ≤ ≥ or All Real Numbers DNE
log logn ln n√  | | e 
sin cos tan arcsin arccos arctan ⟨ ⟩
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