In: Advanced Math
using MATLAB :
x = [0.3036 0.6168 0.7128 0.7120 0.9377 0.7120 0.3989 0.3028 0.3036 0.5293];
y = [0.1960 0.2977 0.4169 0.1960 0.2620 0.5680 0.6697 0.7889 0.5680 0.5020];
reflect the model about the horizontal line y = 0.6180 and translate the image .0484 units along the x axis.
and then reflect the model about the vertical line x = 0.5078 and translate the image -.3720 units along the y axis
We have shown the effects of reflection and translation about any axis. Also we attached the matlab code for the same.
Matlab code for '' reflect the model about the horizontal line y = a1 and translate the image a2 units along the x axis. ''
x = [0.3036 0.6168 0.7128 0.7120 0.9377 0.7120 0.3989 0.3028
0.3036 0.5293];
y = [0.1960 0.2977 0.4169 0.1960 0.2620 0.5680 0.6697 0.7889 0.5680
0.5020];
a1=0.6180; a2=.0484;
y1=2*a1-y; x1=x+a2;
plot(x,y,'--o',x1,y1,'-.s');
Matlab code for '' reflect the model about the vertical line x = a1 and translate the image a2 units along the y axis. ''
x = [0.3036 0.6168 0.7128 0.7120 0.9377 0.7120 0.3989 0.3028
0.3036 0.5293];
y = [0.1960 0.2977 0.4169 0.1960 0.2620 0.5680 0.6697 0.7889 0.5680
0.5020];
a1=0.5078; a2=-0.3720;
x1=2*a1-x; y1=y+a2;
plot(x,y,'--o',x1,y1,'-.s');