4. the red graph (1) is the graph of f(x) = log(x). describe the transformation of the blue function (2) and write the equation of the graph.

Function is shifted 1 unit left and 1 unit up.

Transformed function

Step-by-step explanation:

Given:

Red graph (Parent function):

Blue graph (Transformed function)

From the graph we can see that the red graph is shifted 1 units left and 1 units up.

Translation Rules:

If the function shifts units to the left.

If the function shifts units to the right.

If the function shifts units to the up.

If the function shifts units to the down.

Applying the rules to

The transformation statement is thus given by:

As function is shifted 1 unit left and 1 unit up.

Transformed function is given by: