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#include <iostream>
#include <iomanip>
#include <cmath>
#include <fstream>
#include <cstdlib>
#include <cstring>
using namespace std;
class Parabola
{
public:
Parabola( double, double, double );
double calcDiscrim();
double calcRoots( double &, double & );
double calcX();
double calcY();
void printEquation();
void printVertex();
void printRoots();
void printConcavity();
void print();
private:
double aCoeff, bCoeff, cCoeff;
};
int main()
{
double Coeff, aCoeff, bCoeff, cCoeff, a, b, c ;
string Parabola( double, double, double );
if(a==0)
{
Coeff = 1;
aCoeff = a;
bCoeff = b;
cCoeff = c;
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;
cout << Parabola p1;
cout << "The second parabola:" << endl;
cout << Parabola p2;
cout << "The third parabola:" << endl;
cout << Parabola p3;
cout << "The fourth parabola:" << endl;
cout << Parabola p4;
cout << "The fifth parabola:" << endl;
cout << Parabola p5;
};
else (a !=0);
{
cout << "error";
}
return 0;
}
double calcDiscrim()
{
double Coeff, aCoeff, bCoeff, cCoeff;
return( (bCoeff * bCoeff) - (4 * aCoeff * cCoeff) );
}
double calcRoots( double &root1, double &root2)
{
double Coeff, aCoeff, bCoeff, cCoeff;
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()
{
double Coeff, aCoeff, bCoeff, cCoeff;
return ( -bCoeff / ( 2 * aCoeff ) );
}
double calcY()
{
double Coeff, aCoeff, bCoeff, cCoeff;
return ( ( aCoeff * calcX() ) + ( bCoeff * calcX() ) + cCoeff );
}
void printEquation()
{
double Coeff, aCoeff, bCoeff, cCoeff;
cout << aCoeff << "x^2 + " << bCoeff << "x + " << cCoeff << endl;
}
void printVertex()
{
double Coeff, aCoeff, bCoeff, cCoeff;
cout << "Vertex Coordinates: ("<< calcX() << "," << calcY() <<")" << endl;
}
void printRoots()
{
double number;
double root1, root2;
double &a = root1;
double &b = root2;
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()
{
double Coeff, aCoeff, bCoeff, cCoeff;
if(aCoeff < 0)
cout << "The parabola opens Downward" << endl;
else
cout << "The parabola opens Upward" << endl;
}
void print()
{
printEquation();
printVertex();
printConcavity();
printRoots();
}
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