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Mathematics 16 Online
OpenStudy (misssunshinexxoxo):

2.An archway will be constructed over a walkway. A piece of wood will need to be curved to match a parabola. Explain to Maurice how to find the equation of the parabola given the focal point and the directrix.

OpenStudy (misssunshinexxoxo):

@Algorithmic

OpenStudy (misssunshinexxoxo):

Attempted this several times; I am stuck

OpenStudy (anonymous):

im sorry ill find you help cause idk either

OpenStudy (misssunshinexxoxo):

@Ashleyisakitty

OpenStudy (misssunshinexxoxo):

@camacho01erick

OpenStudy (anonymous):

@brucebaner @KEYS

OpenStudy (misssunshinexxoxo):

@jim_thompson5910

OpenStudy (misssunshinexxoxo):

@Deadpool117

OpenStudy (anonymous):

._., idk u tell me?

OpenStudy (misssunshinexxoxo):

To solve the equation of the parabola, I would need to use the distance formula and substitute the focal point in (x1-y1). Also use the distance formula for the directrix. Since it is a straight line, the x part could be eliminated and the remaining part of the formula would be used, substituting the y for the given measurement of the directrix. The two unfinished formulas would be combined and then solve for the equation. f(x) would be the unit of measurement for parabola.

OpenStudy (misssunshinexxoxo):

how do I make this directly answer the question better? got it wrong

OpenStudy (anonymous):

no clue :/

OpenStudy (misssunshinexxoxo):

Please kindly help @jim_thompson5910

jimthompson5910 (jim_thompson5910):

"An archway will be constructed over a walkway" so we know that the parabola opens downward and might look something like this |dw:1434411400497:dw|

jimthompson5910 (jim_thompson5910):

The focus is always on the inside of the curve with the directrix on the other side of the parabola |dw:1434411427156:dw|

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