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Answer:
[tex]h(x)=-5x^2+10x-2[/tex]
Step-by-step explanation:
[tex]h(x) = -5 (x - 1)^2 + 3\\\\\implies h(x) = -5 (x - 1)^2 + 3\\\\\implies h(x)=-5(x^2-2x+1)+3\\\\\implies h(x) = -5x^2+10x-5+3\\\\\implies h(x)=-5x^2+10x-2[/tex]