SOLUTION: Okay, so I am stuck with Paul's truck company which hauls oversized loads. The trucks travel through a tunnel with an opening in the shape of a parabola that is 12 meters wide and
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Question 826459: Okay, so I am stuck with Paul's truck company which hauls oversized loads. The trucks travel through a tunnel with an opening in the shape of a parabola that is 12 meters wide and 6 meters high.
I am told to find a function, T(x), for the shape of the tunnel...I am also supposed to graph it but I don't think that would be much of a trouble if I get a walk-in thus far.
I appreciate your help in advance, and I will be looking forward to your reply soon. Thanks a bunch! :)
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
I can say that this is a parabola that looks like a bowl
turned upside down. To simplify, say it is symmetric
about the origin. That means it intersects the x-axis
at ( 6,0 ) and ( -6,0 ) The T-intercept is at ( 0,6 ).
-------------------------------------------
The general form of the parabola is:
The formula for the vertex is:
Since the vertex is on the y-axis,
I can say:
-----------
So far, I have:
Plug in ( 6,0 )
(1)
also
Plug in (-6,0 )
(2)
Add (1) and (2)
(1)
(2)
-------------
Plug this back in:
(1)
(1)
(1)
--------------
So, the equation is:
Here's the plot:
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