plot ( x_pos, y_pos, linestyle = '. append ( y )Īnd then to plot it we can just do this: # Plot the parabola (+ the known points) arange ( - 30, 30, 1 ) y_pos = #Calculate y valuesįor x in range ( len ( x_pos )): x_val = x_pos y = ( a * ( x_val ** 2 )) + ( b * x_val ) + c y_pos.
PARABOLA EQUATION CALCULATOR FULL
We now have our full equation and can apply it to calc values along the parabola: #Define x range for which to calc parabola X1, y1 = x2, y2 = x3, 圓 = #Calculate the unknowns of the equation y=ax^2+bx+cĪ, b, c = calc_parabola_vertex ( x1, y1, x2, y2, x3, 圓 )
''' denom = ( x1 - x2 ) * ( x1 - x3 ) * ( x2 - x3 ) A = ( x3 * ( y2 - y1 ) + x2 * ( y1 - 圓 ) + x1 * ( 圓 - y2 )) / denom B = ( x3 * x3 * ( y1 - y2 ) + x2 * x2 * ( 圓 - y1 ) + x1 * x1 * ( y2 - 圓 )) / denom C = ( x2 * x3 * ( x2 - x3 ) * y1 + x3 * x1 * ( x3 - x1 ) * y2 + x1 * x2 * ( x1 - x2 ) * 圓 ) / denom return A, B, Cīy defining our three known xy points, we can use the above function to find the values of the unknowns a, b and c which would satisfy the equation of y = ax 2 + bx + c: #Define your three known points The function doing the work of finding your unknowns is: def calc_parabola_vertex ( x1, y1, x2, y2, x3, 圓 ): '''Īdapted and modifed to get the unknowns for defining a parabola: Three vectors - V, Vx and Vy - form a right triangle. The vertical velocity component Vy is equal to V sin (). The horizontal velocity component Vx is equal to V cos (). Process 1: Enter the complete equation /value in the input box i.e. Follow the given process to use this tool. Equations Inequalities System of Equations System of Inequalities. Our projectile motion calculator follows these steps to find all remaining parameters: Calculate the components of velocity. This is a very simple tool for Parabola Calculator.
Scouting around I found a nice symbolic C function doing exactly what I wanted (see here). Free Parabola calculator - Calculate parabola foci, vertices, axis and directrix step-by-step. I was looking for a quick fix for calculating values along a parabola given three known points.
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