Explain how to find the vertex of a parabola in standard form.

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recoronarrv · Accepted Answer

The standard form of a parabola: y=ax2+bx+c, where a≠0  The vertex is the minimum or maximum point of a parabola. If a&amp;gt;0, the vertex is the minimum point and the parabola opens upward. If a&amp;lt;0, the vertex is the maximum point and the parabola opens downward.    If you want to find a vertex, you need to find the x- and y-coordinates.    The formula for the axis of symmetry and the x-coordinate of the vertex: x=−b2a    To find the y-coordinate of the vertex, substitute the value for x into the equation and solve it for y.    y=a(−b2a)2+b(−b2a)+c

Melissa Moore · Accepted Answer

When the axis and the perpendicular tangent at the vertex V(α,β) are parallel to the coordinate axes, the standard form is:    (y−β)2=±4a(x−α) or (y−α)2=±4a(x−β)

user_27qwe · Accepted Answer

The vertex of a parabola is the point where the parabola crosses its axis of symmetry. If the coefficient of the x^{2} term is positive, the vertex will be the lowest point on the graph, the point at the bottom of the “ U ”-shape. If the coefficient of the x^{2} term is negative, the vertex will be the highest point on the graph, the top of the &quot;U &quot;-shape.

Explain how to find the vertex of a parabola in

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