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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 f(x)=(x-1)^2+2-example-1

1 Answer

8 votes

Answer:

x = 1

Explanation:

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

The vertex of
f(x)=(x-1)^2+2 is (1, 2)

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

User Yassassin
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