(50 points)describe the transformation that maps the pre-image a to the image a'. a) translated 10 units to left and then 10 units up b) translated 10 units to right and then 10 units down c) translated 10 units down and then reflected across the y-axis d) translated 10 units to right and then reflected across the x-axis

You should really learn these, since later when you go into college they will also test you about graphs and such.

To do this, focus on one point of the pre-image A. Now, look at this point, and  see how it gets there to the actual image. In this case, it is translated 10 units to the right, and then 10 units down. If it was reflected across the y or x axis, the shape would be flipped, this pre-image was simply just translated to another place.

So, the answer you're looking for is B)translated 10 units to right and then 10 units down 

Geometric pattern of 2 i’m guessing. not really sure about what you’re asking but i hope this !