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The Parabola Calculator is an online tool that uses the equation of a parabola to describe its properties focus, focal parameter, vertex, directrix, eccentricity, and semi-axis length. Additionally, it draws the parabola&x27;s plots as well. The calculator interface consists of a single text box labeled "Enter the equation of the parabola."
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Parabola Vertex Focus Calculator Formulas (Y aX 2 bX c, a0) Focus X -b2a Focus Y c - (b 2 - 1)4a Vertex X -b2a Directrix Y c - (b 2 1)4a X Intercept -b2a (b b - 4ac) 2a,0 Parabola equation and graph with major axis parallel to y axis. If a>0, parabola is upward, a<0, parabola is downward.
Formulas Used in the Calculator. The equation of a parabola whose vertex is given by its coordinates (h, k) is written as follows. y a (x h) 2 k. For 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. Solve the above equation to find coefficient a.
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This calculator will find either the equation of the parabola from the given parameters or the vertex, focus, directrix, axis of symmetry, latus rectum, length of the latus rectum, focal parameter, focal length (distance), eccentricity, x-intercepts, y-intercepts, domain, and range of the entered parabola. Also, it will graph the parabola.
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