Question 1186192
.
Mrs. Flores recently subscribed in a tv cable plan at GSAT Company. 
The receiving dish of the GSAT Cable is in the shape of a paraboloid of revolution.
Find the location of the receiver which is placed at the focus if the dish is 12
feet across and 3 feet deep. 
Also write the standard form equation of the ellipse. 
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This post requests to "write the standard form equation for the ellipse",


                but the ellipse shape is irrelevant to the problem.



It is why I decided do not touch it, in order for "don't get my hands dirty",

and so this task has been hanging here for several months (if not years).



For other similar problem, which I solved at this forum recently, see the link


<A HREF=https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.1186320.html>https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.1186320.html
</A>

https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.1186320.html



By the way, one more notice to the solution by @CPhill, to its last sentence:


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The standard form equation for this paraboloid is 


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;{{{x^2}}} + {{{y^2}}} = 12z.