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  • https://math.libretexts.org/Courses/Long_Beach_City_College/Intermediate_Algebra/10%3A_Quadratic_Equations/10.5%3A_Graphing_Quadratic_Equations
    Since the solutions of the equations give the x-intercepts of the graphs, the number of x-intercepts is the same as the number of solutions. The point on the parabola that is on the axis of symmetry i...Since the solutions of the equations give the x-intercepts of the graphs, the number of x-intercepts is the same as the number of solutions. The point on the parabola that is on the axis of symmetry is called the vertex of the parabola; it is the lowest or highest point on the parabola, depending on whether the parabola opens upwards or downwards.

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