Answer:
<em>h(x) = -3(x + 1)^2 + 8</em>
Step-by-step explanation:
<em>h=-3x^2-6x+5 subtract 5 from both sides</em>
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<em>h-5=-3x^2-6x divide both sides by -3</em>
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<em>(5-h)/3=x^2+2x halve the linear coefficient, square it, add it to both sides....</em>
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<em>(2/2)^2=1 add 1 to both sides...</em>
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<em>(5-h+3)/3=x^2+2x+1, now the right side is a perfect square...</em>
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<em>(8-h)/3=(x+1)^2 multiply both sides by 3</em>
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<em>8-h=3(x+1)^2 divide both sides by -1</em>
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<em>h-8=-3(x+1)^2 add 8 to both sides</em>
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<em>h=-3(x+1)^2+8</em>
h(x)= -3(x+1)^2+8
<em>BRAINLIEST PLS!!!</em>
