![]() Solve the above equation to find coefficient \( a \)ġ) if \( h = x_0 \), the denominator in \( a \) is equal to zero and the problem has no solution because both the vertex and the given point \( A \) are in the same vertical line.Ģ) if \( k = y_0 \), there is no parabola because both the vertex and the given \( A \) are in the same horizontal line.ġ - Enter the \( h \) and \( k\) coordinates the vertex and the coordinates \( x_0 \) and \( y_0 \) of the point on the parabola and press "Calculate". The equation of a parabola whose vertex is given by its coordinates \( (h,k) \) is written as followsįor the point with coordinates \( A = (x_0, y_0) \) to be on the parabola, the equation \( y_0 = a (x_0 - h)^2 + k \) must be satified. This calculator finds the equation of parabola with vertical axis given its vertex of the parabola and a point on the parabola. ![]() ![]() Parabola Calculator Given its Vertex and a Point Parabola Calculator Given its Vertex and a Point
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