Compare the graphs below of the logarithmic functions. Write the equation to represent g(x).

(picture)

g(x) = log(x) − 4
g(x) = log(x) + 4
g(x) = log(x + 4)
g(x) = log(x − 4)

g(x) = log(x) + 4

Step-by-step explanation:

The graph of is the graph of shifted along the positive y-direction by 4 units. We know this because goes flat as it approaches and goes flat when ; therefore, the function is a shifted version of , and it is

We can confirm this by putting into the function, and we get:

,

and the graph of confirms this.

,

which the graph of   confirms.