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

- anonymous

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- anonymous

##### 1 Attachment

- anonymous

the height of the arch is 630ft as well as the width

- anonymous

@ganeshie8 ?

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- anonymous

@Hero ?

- anonymous

this was the assignment. https://i.gyazo.com/ea2c7cf9f897771440fb99ec9074fb06.png

- Hero

Start by making a sketch of it on graph paper.

- anonymous

do i just place the vertex at the origin?

- Hero

It's probably best to place one of the ends of the foundation at the origin.

- anonymous

ok give me a second to sketch it

- anonymous

|dw:1439572894166:dw|

- anonymous

???

- anonymous

NO ONE?

- Hero

That's a good start. Now, find the midpoint of the line segment containing endpoints (0,0) and (630,0)

- anonymous

(0, 315)

- 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

yea thats what i meant. and ok

- Hero

That vertical line segment is essentially the axis of symmetry.

- anonymous

|dw:1439574756537:dw|

- 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

|dw:1439574890871:dw|

- anonymous

so
y = a(x-h)^2 +k ?

- Hero

Yes that. You already know the values for (h,k).

- anonymous

what do i plug in for a though? do i leave it as it is?

- Hero

You have to solve for a

- Hero

To do that, insert (h,k), then for (x,y) insert (0,0)

- Hero

Then solve for a

- anonymous

oh ok ill do that

- anonymous

i got a= -2/315

- Hero

Show the work you did to arrive at that result

- anonymous

a(0-315)^2 + 630 =0
99225a + 630 = 0
99225a = -630
a = -630/99225
a = -2/315

- Hero

Okay good.

- 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

Actually, that value for a is an approximation. It's not exact.

- anonymous

yea thats pretty much it. My teacher just told us to do that for one of the pictures given.

- anonymous

thanks for the help.

- Hero

yw

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