Parabola Vertex: Finding the Center

Parabola Vertex: Finding the Center

10th Grade · Math · 45 min· Ap Precalculus

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Learning Objective

I can determine the vertex of a parabola by completing the square.

  • 1

    The vertex form of a quadratic equation is y = A(x - B)² + C, where the vertex of the parabola is the point (B, C).

  • 2

    To complete the square, factor out the coefficient of the x² term, then add and subtract (b/2)² inside the parentheses to create a perfect square trinomial.

  • 3

    After completing the square and simplifying, the x-coordinate of the vertex is the value that makes the squared term equal to 0, and the y-coordinate is the constant term in the vertex form.