How do you workout the last digit of the sum for:
0 + 1 + 2 + 3 + 4 + . . + 91 + 92 + 93 + 94?

The easy way is to only add up the last digits
the first 10 are
0,1,2,3,4,5,6,7,8,9
then it starts over
repeats 9 times
then it does 1,2,3,4
so we find 0+1+2+3+4+5+6+7+8+9 and m ultiply by 9
then add 1+2+3+4

0+1+2+3+4+5+6+7+8+9=45
we only need th last dgit so
5 times 9=45
we need the last digit
5

then add that to 1+2+3+4=10
15
15+5=0
answer is 0 is the last digit

Well,

If we remember what a certain Gauss did when adding the natural numbers up to 100, we can remember that he ended up with pairs of 101.  1 + 100, 2 + 99, 3 + 98, etc.  Likewise, we can do this with this pattern, making pairs of 94.

0 + 94, 1 + 93, 2 + 92...45 + 47

We are left with 46.

Notice that we have 46 pairs of 94 plus an extra 46.

Thus, we can just multiply 46 by 94 and add 46.

46(94) + 46
4324 + 46
4370

The last digit is zero.

Where the white dots are is where your points should be plotted.a translation is simply just moving something from one place to another. in this case, you would move each plot point of the original shape 2 units up, and 5 units to the left.