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  • 17-02-2022
  • Mathematics
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What is the axis of symmetry in the function f(x)=(x-1)^2+2

What is the axis of symmetry in the function fxx122 class=

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semsee45
semsee45 semsee45
  • 17-02-2022

Answer:

x = 1

Step-by-step explanation:

  • Vertex form of a quadratic equation:  [tex]f(x)=a(x-h)^2+k[/tex]
    where [tex](h, k)[/tex] is the vertex
  • The x-coordinate of the vertex is the equation of the axis of symmetry of the parabola.

The vertex of  [tex]f(x)=(x-1)^2+2[/tex] is (1, 2)

Therefore, the x-coordinate is 1, so x = 1 is the equation of the axis of symmetry.

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