Answer:






Step-by-step explanation:






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As given r = r(max)/2
k= 50
r(max) = 0.5
By substituting the values,
r= 0.5/2 = 0.25
You have to use following equation to get a value of N
r = r(max) ( 1- N/K)
N/k = 1 - r/r(max)
N/K = 1 - 0.5 = 0.5
N= 50 × 0.5 = 25
Y = -2x² + 8x - 18
x = -b/2a
x = -8/2(-2)
x = -8/-4
x = 2
y = -2x² + 8x - 18
y = -2(2)² + 8(2) - 18
y = -2(4) + 16 - 18
y = -8 - 2
y = -10
(x, y) = (2, -10)
Vertex: (2, -10)
Axis of Symmetry: x = 2