The parent function, f(x) = 5x, has been vertically compressed by a factor of one-fourth, shifted to the right three units and up two units. choose the correct function to represent the transformation

The function is:

Step-by-step explanation:

If we have a function f(x) and we want to compress its graph vertically c units then we must do the transformation

Where .

If we want to make a transformation that moves horizontally h units the graph of f(x) then we must do:

If the graph of f(x) shifts h units to the left

If  the graph of f(x) shifts h units to the right.

If we want to make a transformation that moves vertically k units the graph of f(x) then we must do

If the graph of f(x) moves k units up

If  the graph of f(x) shifts k units down

In this case

If the transformation vertically compresses the function by a factor of and moves the function 3 units to the right and 2 units up then the transformation is:

The function is: