# C/C++ Program for Finding the vertex, focus and directrix of a parabola

A set of points on a plain surface that forms a curve such that any point on that curve is equidistant from the focus is a **parabola.****Vertex** of a parabola is the coordinate from which it takes the sharpest turn whereas a is the straight line used to generate the curve.

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**C Foundation Course**and master the C language from basic to advanced level. Wait no more, start learning today!The standard form of a parabola equation is . Given the values of a, b and c; our task is to find the coordinates of vertex, focus and the equation of the directrix.

**Example –**

Input : 5 3 2 Output : Vertex:(-0.3, 1.55) Focus: (-0.3, 1.6) Directrix: y=-198 Consult the formula below for explanation.

## Recommended: Please try your approach on __{IDE}__ first, before moving on to the solution.

__{IDE}__`#include <bits/stdc++.h>` `using` `namespace` `std;` ` ` `// Function to calculate Vertex, Focus and Directrix` `void` `parabola(` `float` `a, ` `float` `b, ` `float` `c)` `{` ` ` `cout << ` `"Vertex: ("` `<< (-b / (2 * a)) << ` `", "` ` ` `<< (((4 * a * c) - (b * b)) / (4 * a))` ` ` `<< ` `")"` `<< endl;` ` ` `cout << ` `"Focus: ("` `<< (-b / (2 * a)) << ` `", "` ` ` `<< (((4 * a * c) - (b * b) + 1) / (4 * a))` ` ` `<< ` `")"` `<< endl;` ` ` `cout << ` `"Directrix: y="` ` ` `<< c - ((b * b) + 1) * 4 * a << endl;` `}` ` ` `// Driver Function` `int` `main()` `{` ` ` `float` `a = 5, b = 3, c = 2;` ` ` `parabola(a, b, c);` ` ` `return` `0;` `}` |

**Output:**

Vertex: (-0.3, 1.55) Focus: (-0.3, 1.6) Directrix: y=-198

Please refer complete article on Finding the vertex, focus and directrix of a parabola for more details!