Suppose that, using the simulation in Exercise 4 (Connections), you devise a patch configuration using stepping stones. In your first simulation run, you set the leave prairie probability to 0.9 and turn probability in non-prairie to zero. You run the simulation once, with no fires. The simulated butterfly population size after 100 weeks increases from 25 to 132. What does this result tell you about the real-world Fender's blue butterfly population

v v cj van config k tbs eng r.c r.c fcb fb gb frfr

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.