misssunshinexxoxo
  • 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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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misssunshinexxoxo
  • misssunshinexxoxo
@Algorithmic
misssunshinexxoxo
  • misssunshinexxoxo
Attempted this several times; I am stuck
anonymous
  • anonymous
im sorry ill find you help cause idk either

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misssunshinexxoxo
  • misssunshinexxoxo
@Ashleyisakitty
misssunshinexxoxo
  • misssunshinexxoxo
@camacho01erick
anonymous
  • anonymous
@brucebaner @KEYS
misssunshinexxoxo
  • misssunshinexxoxo
@jim_thompson5910
misssunshinexxoxo
  • misssunshinexxoxo
@Deadpool117
anonymous
  • anonymous
._., idk u tell me?
misssunshinexxoxo
  • 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.
misssunshinexxoxo
  • misssunshinexxoxo
how do I make this directly answer the question better? got it wrong
anonymous
  • anonymous
no clue :/
misssunshinexxoxo
  • misssunshinexxoxo
Please kindly help @jim_thompson5910
jim_thompson5910
  • 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|
jim_thompson5910
  • 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|
jim_thompson5910
  • jim_thompson5910
if you know where the focal point and directrix are, then you can use them to find the vertex |dw:1434411451512:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1434411491090:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1434411517689:dw|
jim_thompson5910
  • jim_thompson5910
the vertex is (h,k) p is the focal distance you use those bits of info to plug them into 4p(y-k) = (x-h)^2 to get the parabolic equation
jim_thompson5910
  • jim_thompson5910
|dw:1434411602993:dw|

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