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DochEvi [55]
3 years ago
10

A laboratory designed a radio telescope with a diameter of 320 feet and a maximum depth of 46 feet. Points on graph are: (-160,4

6),(160,46). Find the equation of this parabola.
Mathematics
1 answer:
goblinko [34]3 years ago
5 0
 the shape of the telescope is said to be a parabola. In this case, t<span>he general form which we will pattern our equation is  y- k= 4a(x – h)^2  
 (h,k) or vertex = (0,0) 
y = 4ax^2
We substitute x = 320/2 = 160, y = 46 

46 = 4a (160)^2 
46 = 4a (25600) 
4a = 23/12800 
hence the equation is </span>y = (<span>23/12800)</span>x^2
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