anonymous
  • anonymous
someone help me! I have an assignment which requires me to write the equation that represents the image of an arch monument that i will post below. PLEASE HELP
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
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anonymous
  • anonymous
anonymous
  • anonymous
the height of the arch is 630ft as well as the width
anonymous
  • anonymous
@ganeshie8 ?

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anonymous
  • anonymous
@Hero ?
anonymous
  • anonymous
this was the assignment. https://i.gyazo.com/ea2c7cf9f897771440fb99ec9074fb06.png
Hero
  • Hero
Start by making a sketch of it on graph paper.
anonymous
  • anonymous
do i just place the vertex at the origin?
Hero
  • Hero
It's probably best to place one of the ends of the foundation at the origin.
anonymous
  • anonymous
ok give me a second to sketch it
anonymous
  • anonymous
|dw:1439572894166:dw|
anonymous
  • anonymous
???
anonymous
  • anonymous
NO ONE?
Hero
  • Hero
That's a good start. Now, find the midpoint of the line segment containing endpoints (0,0) and (630,0)
anonymous
  • anonymous
(0, 315)
Hero
  • Hero
(315, 0) actually. Plot that point on your graph and draw a vertical line segment from the vertex to the midpoint of the base segment.
anonymous
  • anonymous
yea thats what i meant. and ok
Hero
  • Hero
That vertical line segment is essentially the axis of symmetry.
anonymous
  • anonymous
|dw:1439574756537:dw|
Hero
  • Hero
You should probably use the vertex form of a parabola to write the equation for it and make sure to include the correct restrictions for the domain.
Hero
  • Hero
|dw:1439574890871:dw|
anonymous
  • anonymous
so y = a(x-h)^2 +k ?
Hero
  • Hero
Yes that. You already know the values for (h,k).
anonymous
  • anonymous
what do i plug in for a though? do i leave it as it is?
Hero
  • Hero
You have to solve for a
Hero
  • Hero
To do that, insert (h,k), then for (x,y) insert (0,0)
Hero
  • Hero
Then solve for a
anonymous
  • anonymous
oh ok ill do that
anonymous
  • anonymous
i got a= -2/315
Hero
  • Hero
Show the work you did to arrive at that result
anonymous
  • anonymous
a(0-315)^2 + 630 =0 99225a + 630 = 0 99225a = -630 a = -630/99225 a = -2/315
Hero
  • Hero
Okay good.
Hero
  • Hero
So you should be able to express the equation of the parabola in vertex form. Is that all you're required to do for this problem?
Hero
  • Hero
Actually, that value for a is an approximation. It's not exact.
anonymous
  • anonymous
yea thats pretty much it. My teacher just told us to do that for one of the pictures given.
anonymous
  • anonymous
thanks for the help.
Hero
  • Hero
yw

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