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The vertex of the parabola described by the equation 3y=2x^2-16x+18-x^2+12x is (m, n). What is m+n?

 Jun 30, 2022
 #1
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3y =  2x^2 -16x + 18 - x^2 + 12x             simplify as

 

3y  = x^2  - 4x +  18          divide through by 3

 

y =  (1/3)x^2  - (4/3)x + 6

 

m =  (4/3) / ( 2 *1/3)  =  (4/3) / (2/3)  =  2

 

n =  (1/3)^2^2  - (4/3)(2) + 6 =       (4/3) - 8/3  + 6 =   14/3

 

m + n =   2 + 14/3     =         20 / 3

 

 

cool cool cool

 Jun 30, 2022

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