Yes the domain represents the X vales and range represents the Y values
The "Pre Image" is the image that we started with, so the pink triangle.
The "Image" is the image that we ended with, so the blue triangle.
To determine how far we went from the pre image to the image, we can focus on one point, let's say point "P".
The pre image coordinates for point "P" are 2, 3.
The image coordinates for point "P'" are -1, 0.
To get from x value 2 to x value -3, we subtracted 3.
To get from y value 3 to y value 0, we subtracted 3.
So, our rule for this translation would be A, (x, y) ----> (x-3, y-3).

Answer: 54 is 112.5% of 48.
Whenever you want to write the equation of a parallel line through some point (h, k), you can ...
- remove any added constant in the original given equation
- replace x with (x-h)
- replace y with (y-k)
- rearrange the resulting equation to the form required by the problem.
Using this formula here, we get
... 2(y +5) = 3(x -2)
Your answer form requires you solve this for y.
... 2y + 10 = 3x -6 . . . . . eliminate parentheses
... 2y = 3x -16 . . . . . . . . subtract the constant on the left (10)
... y = (3/2)x -8 . . . . . . divide by 2
Y = log3 27
27 = 3^x
3^3 = 27
so x = 3