I need help writing 3 functions for the rest of my c++ code. The code is centered around making functions for creating a rectangle using a premade header file called Point.h. I have done a majority of the code and will include the header files and code. The 3 functions NEED to be in this certain form with these certain parameters. They are Point Rectangle::getCenter(); (Finds center of rectangle" , void Rectangle shift(double x, double y); "Move the rectangle by the given amount in x and y dimensions. Do so by moving the Point your rectangle is based on.", bool Rectangle::contains(Point& p);" Return true if indicated Point is within the rectangle (on edge counts as within)".

Point.h header file:

#ifndef POINT_H

#define POINT_H

class Point

{

public:

 Point();

 Point(double startX, double startY);

 double getX() const;

 double getY() const;

 void setX(double newX);

 void setY(double newY);

 void translate(double xShift, double yShift);

 bool isSameAs(const Point& other) const;

 double distanceTo(const Point& other) const;

 void print() const;

private:

 double x;

 double y;

};

#endif // POINT_H

Rectangle.h:

#ifndef RECTANGLE_H

#define RECTANGLE_H

#include "point.h"

class Rectangle

{

private:

 Point upperLeftVertex;

 double height;

 double width;

public:

 Rectangle(Point& p1, double heightValue, double widthValue);

 Rectangle(Point& p1, Point& p2);

 Point getUpperLeftVertex() const;

 double getWidth() const;

 double getHeight() const;

 double getArea();

 double getPerimeter();

 Point getCenter();

 void shift(double x, double y);

 bool contains(Point p);

};

#endif // RECTANGLE_H

Rectangle.cpp:

#include "Rectangle.h"

#include 

#include 

using namespace std;

Rectangle::Rectangle(Point& p1, double heightValue, double widthValue)

{

upperLeftVertex = p1;

height = heightValue;

width = widthValue;

}

Rectangle::Rectangle(Point &p1, Point &p2){

 upperLeftVertex = p1;

 height = abs(p1.getY() - p2.getY());

 width = abs(p1.getX() - p2.getX());

}

Point Rectangle::getUpperLeftVertex() const{

 return upperLeftVertex;

}

double Rectangle::getWidth() const{

 return width;

}

double Rectangle::getHeight() const{

 return height;

}

double Rectangle::getArea(){

 return width * height;

}

double Rectangle::getPerimeter(){

 return (width + height) * 2;

}

Point Rectangle::getCenter(){

//YOUR CODE HERE//

}

void Rectangle::shift(double x, double y){

 //YOUR CODE HERE// 

}

bool Rectangle::contains(Point& p){

 //YOUR CODE HERE//

}