+0  
 
+8
77
1
avatar+722 

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

 Apr 4, 2020
 #1
avatar+21013 
+1

Let's find the vertex by completing the square.

First, move the 18 to the other side:     3y - 18  =  2x2 - 16x

Factor out the 2:                                   3y - 18  =  2(x2 - 8x)

Complete the square:                           3y - 18  =  2(x2 - 8x + 16) - 32

Move the -18                                               3y  =  2(x - 4) - 14

Divide both sides by 3:                                  y  =  (2/3)(x - 4)2 - 14/3

The vertex is  (4, -14/3)

 Apr 4, 2020

23 Online Users

avatar
avatar
avatar
avatar
avatar