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#include <iostream>
using namespace std;
class Parabola{
private:
double Coeff, aCoeff, bCoeff, cCoeff;
double sqrt(double a);
public:
Parabola(double a, double b, double c){
if(a==0)
Coeff = 1;
else
aCoeff = a;
bCoeff = b;
cCoeff = c;
}
double calcDiscrim(){
return( (bCoeff * bCoeff) - (4 * aCoeff * cCoeff) );
}
double calcRoots(double &root1, double &root2){
if(calcDiscrim()==0){
root1 = -bCoeff / (2 * aCoeff);
return 1;
}
if(calcDiscrim()>0){
root1 = (-bCoeff + sqrt(calcDiscrim())) / (2 * aCoeff);
root2 = (-bCoeff + sqrt(calcDiscrim())) / (2 * aCoeff);
return 2;
}
if(calcDiscrim()<0)
return 0;
}
double calcX(){
return (-bCoeff / (2 * aCoeff));
}
double calcY(){
return ((aCoeff * calcX()) + (bCoeff * calcX()) + cCoeff);
}
void printEquation(){
cout << aCoeff << "x^2 + " << bCoeff << "x + " << cCoeff << endl;
}
void printVertex(){
cout << "Vertex Coordinates: ("<< calcX() << "," << calcY() <<")" << endl;
}
void printRoots(){
double number;
double root1, root2;
double &a = root1;
double &b = root2;
int setprecision(int a);
number = calcRoots(a, b);
if(number==0)
cout << "There are NO real roots" << endl;
if(number==1)
cout << "There is one real root with X-Coordinate root_1_value" << fixed << setprecision(3) << &a << endl;
if(number==2)
cout << "There are two real roots with X-Coordinate root_1_value" << fixed << setprecision(3) << &a << "and root_2_value" << fixed << setprecision(3) << &b << endl;
}
void printConcavity(){
if(aCoeff < 0)
cout << "The parabola opens Downward" << endl;
else
cout << "The parabola opens Upward" << endl;
}
void print(){
printEquation();
printVertex();
printConcavity();
printRoots();
}
};
int main(){
Parabola p1(1, 4, -5);
Parabola p2(0, 0, 25);
Parabola p3(-1, 2, -1);
Parabola p4(-12, -2, 3);
Parabola p5(12, 2, 3);
cout << "The first parabola:" << endl;
p1.print();
cout << "The second parabola:" << endl;
p2.print();
cout << "The third parabola:" << endl;
p3.print();
cout << "The fourth parabola:" << endl;
p4.print();
cout << "The fifth parabola:" << endl;
p5.print();
return 0;
}
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