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Find Quadratic Line of Symmetry

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Find the Line of Symmetry Graphically
Axis 1

Green parabola: y = x^2 + 2x; Red line: Line of Symmetry

Jennifer Ledwith

Find the line of symmetry of y = x2 + 2x with 3 steps.

  1. Find the vertex, which is the lowest or highest point of a parabola. Hint: The line of symmetry touches the parabola at the vertex. (-1,-1)
  2. What is the x-value of the vertex? -1
  3. The line of symmetry is x = -1

Hint: The line of symmetry (for any quadratic function) is always x = n because it is always a vertical line.

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