Mathematics
Grade10
Easy

Question

Find the axis of symmetry of graph g(x) = -2(x - 1)2 + 4.

  1. x = 1
  2. y = 3
  3. x = 0
  4. y = 0

The correct answer is: x = 1


    f(x)=-2(x-1)2 +4 is the function having vertex at (1,4)
    x-1 =0 rightwards double arrowx =1
    The axis of symmetry will pass through the vertex.
    As the graph is of the type f(x)=-x2 so the axis of symmetry will be parallel to y-axis.
    Therefore, x=1 is the axis of symmetry.
    The vertex of the graph is (1, 4).
    The axis of symmetry of the graph is x = 1.

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