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f(x)=-3x^(2) +6x+7 the equation of the axis of symmetry

User Tesia
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1 Answer

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30 votes

Answer:


x=1

Explanation:

Complete the square


f(x)=-3x^2+6x+7


y=-3x^2+6x+7


y-10=-3x^2+6+7-10


y-10=-3x^2+6x-3


y-10=-3(x^2-2x+1)


y-10=-3(x-1)^2


y=-3(x-1)^2+10

Identify vertex and axis of symmetry


y=a(x-h)^2+k


(h,k)\rightarrow(1,10)


x=h\rightarrow x=1

f(x)=-3x^(2) +6x+7 the equation of the axis of symmetry-example-1
User Wuppi
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