% Playing with the Quadratic Family
% Kevin Knuth
% 17 April 2008

cVALUES = [0.25, 0, -3/4, -1, -2, -2.2];

for i = 1:length(cVALUES)
    c = cVALUES(i);

    x = -2:0.01:2;
    y = x.^2 + c;

    figure;
    hold on;

    plot(x,y)

    Bx = [2,2,-2,-2,2];
    By = [2,-2,-2,2,2];
    line(Bx,By)

    line([-2,2],[0,0],'color','k');
    line([0,0],[-2,2],'color','k');
    line([-2,2],[-2,2], 'color','r');

    axis([-2,2,-2,2])

    title(['C = ' num2str(c)]);
end
%

%%



for i = 1:length(cVALUES)
    c = cVALUES(i);

    x = -2:0.01:2;
    y = (x.^2 + c).^2 + c;

    figure;
    hold on;

    plot(x,y)

    Bx = [2,2,-2,-2,2];
    By = [2,-2,-2,2,2];
    line(Bx,By)

    line([-2,2],[0,0],'color','k');
    line([0,0],[-2,2],'color','k');
    line([-2,2],[-2,2], 'color','r');

    axis([-2,2,-2,2])

    title(['C = ' num2str(c)]);
end
%