Vertex form => y = a(x - h)^2 + k
-3x^2 + 18x - 24 = -3(x^2 - 6x + 4) = -3((x - 3)^2 - 5)
= -3(x - 3)^2 + 15
-3(x^2-6x+9)-24+27
-3(x-3)^2+3
y=-3(x^2-6x+8)=-3(x-3)^2+3
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Verified answer
Vertex form => y = a(x - h)^2 + k
-3x^2 + 18x - 24 = -3(x^2 - 6x + 4) = -3((x - 3)^2 - 5)
= -3(x - 3)^2 + 15
-3(x^2-6x+9)-24+27
-3(x-3)^2+3
y=-3(x^2-6x+8)=-3(x-3)^2+3