Answer:
We can define the algebraic transformations used here as:
Horizontal translation.
For a general point (x, y), a horizontal translation of N units is written as:
(x + N, y)
if N < 0, the translation is to the left
if N > 0, the translation is to the right.
Vertical translation:
For a general point (x, y), a vertical translation of N units is written as:
(x , y + N)
If N < 0, the translation is downwards
if N > 0, the translation is upwards.
Vertical dilation:
For a point (x, y), a vertical dilation of scale factor k is given by:
(y, k*y)
Horizontal dilation:
A dilation of scale factor k is written as:
(x/k, y)
Here we go from:
(x, y) to (3x - 4, (1/5)*y - 2)
So we have:
An horizontal dilation of scale factor 1/3 followed of a horizontal translation of 4 units.
And a vertical dilation of scale factor (1/5) followed by a translation downwards of 2 units.
