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The height, y m, of a rider above the ground in a section of roller coaster ride is given by y = 1/3*x^2 - 2x + 8, where x m is the rider's horizontal disantce form the start of the ride.

 

 Feb 27, 2021
 #1
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i)    y = 1/3 x^2 -2x + 8

        = 1/3  (x^2 - 6x)    + 8

             =1/3 ( x - 3)2   + 8 - 3

              = 1/3 (x-3)+  5

 

ii)    Min will occur at vertex       3,5           5 m

iii)   put in 8 for 'y'   and calculate  'x'      into the equation in  i)   or the origianl equation given in the Q

 Feb 27, 2021

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