603640 603640
  • 26-01-2022
  • Mathematics
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[tex]f(x)=-3x^{2} +6x+7[/tex] the equation of the axis of symmetry

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goddessboi goddessboi
  • 26-01-2022

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

Complete the square

[tex]f(x)=-3x^2+6x+7[/tex]

[tex]y=-3x^2+6x+7[/tex]

[tex]y-10=-3x^2+6+7-10[/tex]

[tex]y-10=-3x^2+6x-3[/tex]

[tex]y-10=-3(x^2-2x+1)[/tex]

[tex]y-10=-3(x-1)^2[/tex]

[tex]y=-3(x-1)^2+10[/tex]

Identify vertex and axis of symmetry

[tex]y=a(x-h)^2+k[/tex]

[tex](h,k)\rightarrow(1,10)[/tex]

[tex]x=h\rightarrow x=1[/tex]

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