প্যারাবোলার সমীকরণ: y = ax² + bx + c
সূত্র
- Vertex:
(-b/2a, (4ac-b²)/4a) - Focus:
(-b/2a, (4ac-b²+1)/4a) - Directrix:
y = c - (b²+1)/4a
C++ কোড উদাহরণ
#include <iostream>
using namespace std;
void calc_para(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;
}
int main() {
float a = 23, b = 34, c = 5;
calc_para(a, b, c);
return 0;
}
আউটপুট
Vertex- (-0.73913, -7.56522) Focus- (-0.73913, -7.55435) Directrix- y=-106439
