Answer:

Step-by-step explanation:
The mid point can be found with the formula

The given coordinates are
and
.
Replacing coordinates in the formula, we have

Therefore, the mid point of the segment PQ is 
Y= y1
replace the y1 with the ordinate ( the y-part) of the point you are going thru
example a horizontal line going through the point (7,12) would be y=12
Given: y = 2x^2 - 32x + 56
1) y = 2 [ x^2 - 16x] + 56
2) y = 2 [ (x - 8)^2 - 64 ] + 56
3) y = 2 (x - 8)^2 - 128 + 56
4) y = 2 (x - 8)^2 - 72 <----------- answer
Minimum = vertex = (h,k) = (8, - 72)
=> x-ccordinate of the minimum = 8 <-------- answer
N.O = 4
N is midpoint of M.0
Meaning M.N also has to be 4
4+4= 8
N.P = 6
0.P = 2
8+ 2 = 10
P+o-wt=4b
-wt=4b-p-o
t=(4b-p-o)/-w
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