This is a project I'm working on and i am totally lost with functions, I do not even know where to go or if im doing any of this right. Any hints towards what I need to do would be very helpful. Thanks
Purpose: The purpose of this program is to create a quadratic
equation analyzer that will calculate the coordinates
of the vertex, the concavity, and the root(s) of a
parabola. The user supplies the 3 coefficients that are
needed for the calculations.
It should be displaying something similar to this:
Run 1:
Enter the a coefficient (non-zero value): 1
Enter the b coefficient: 4
Enter the c coefficient: -5
*******************************************
Quadratic Equation Analyzer
*******************************************
a Coefficient 1.000
b Coefficient 4.000
c Coefficient -5.000
-------------------------------------------
X Coordinate -2.000
Y Coordinate -9.000
-------------------------------------------
The parabola opens UPWARD
-------------------------------------------
Root 1 X Coordinate 1.000
Root 2 X Coordinate -5.000
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#include <iostream>
#include <iomanip>
#include <cmath>
using namespace std;
//*********************************************************************
//*
//* Function Prototypes
//*
//*********************************************************************
double getA ();
double calcXvertex ( double, double );
double calcYvertex ( double, double, double );
void printConcavity ( double );
double calcDiscriminant ( double, double, double );
void printRoots ( double, double, double );
int main()
{
//*********************************************************************
//*
//* Variable Dictionary
//*
//* aCoeff, bCoeff, cCoeff - used to hold the coefficients
//*
//* xVertex - used to hold the X-coordinate of the vertex
//*
//* yVertex - used to hold the Y-coordinate of the vertex
//*
//*********************************************************************
double aCoeff, bCoeff, cCoeff;
double xVertex, yVertex;
//Setup the formatting
cout << fixed << setprecision(3);
//Get the A, B, and C coefficients from the user
cout << "Enter the a coefficient (non -zero value:\n";
cin >> aCoeff;
while (aCoeff >0)
{
cout << "Error: The a-value MUST be non-zero. Try Again:";
cin >> aCoeff;
}
cout << "Enter the b coefficient: ";
cin >> bCoeff;
cout << "Enter the c coefficient: ";
cin >> cCoeff;
//Calculate the X and Y coordinates for the vertex of the parabola
xVertex = -bCoeff/(2 * aCoeff);
yVertex = (aCoeff * xVertex^2) + (bCoeff * xVertex) + cCoeff;
//Display the coefficients and vertices
cout << endl << "*******************************************"
<< endl << " Quadratic Equation Analyzer"
<< endl << "*******************************************"
<< endl << "a Coefficient" << setw(30) << aCoeff
<< endl << "b Coefficient" << setw(30) << bCoeff
<< endl << "c Coefficient" << setw(30) << cCoeff
<< endl << "-------------------------------------------"
<< endl << "X Coordinate" << setw(31) << xVertex
<< endl << "Y Coordinate" << setw(31) << yVertex
<< endl << "-------------------------------------------";
//Display the concavity of the parabola
printConcavity( aCoeff );
//Display the roots
cout << endl << "-------------------------------------------";
printRoots( aCoeff, bCoeff, cCoeff );
cout << endl << endl;
return 0;
}
//***** Functions are coded below main() *****
double getA()
{
cout << "Enter the a coefficient (non -zero value:\n";
cin >> aCoeff;
while (aCoeff >0)
{
cout << "Error: The a-value MUST be non-zero. Try Again:";
cin >> aCoeff;
}
return aCoeff;
}
double calcXvertex ( double, double );
{
xVertex = -bCoeff / ( 2 * aCoeff);
return xVertex;
}
double calcYvertex ( double, double, double );
{
yVertex = ( aCoeff * xVertex^2 ) + ( bCoeff * xVertex ) + cCoeff;
return yVertex;
}
void printConcavity ( double );
{
if ( aCoeff > 0 )
{
cout << "Parabola opens UPWARD." << endl;
}
else
{
cout << "Parabola opens DOWNWARD." << endl;
}
return 0;
}
double calcDiscriminant ( double, double, double );
{
double discriminant;
discriminant = bCoeff^2 - 4 * aCoeff * cCoeff;
return discriminant;
}
void printRoots ( double, double, double );
{
if ( calcDiscriminant > 0 )
{
cout << "There are two real roots.";
}
if else ( calcDiscriminant == 0 )
{
cout << "It has one root with a multiplicity of 2.";
}
else
{
cout << "There are no real roots";
}
return 0;
}
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