Question

WHEN LOGARITHMIC FUNCTIONS ARE GRAPHED WHICH TRANSFORMATION WILL RESULT IN A Y INTERCEPT?

Answer 1

The graph of the function LOG has no y-intercept, but has an x-intercept. 
However, if we apply a symmetry toward the line y=x, then the graph 
will result in an y-intercept. 
Check that by drawing 

Answer 2

Answer:

Horizontal translation left c units, f(x) = log(x + c)

Step-by-step explanation:

The  logarithmic function, f(x) =  log(x), doesn't has a y-intercept. The only transformation that will result in a y-intercept is horizontal translation left c units, where now f(x) = log(x + c). Other transformation of the parent function like vertical translation (up or down), horizontal translation to the right, reflections over x or y axis, vertical stretching or compression, or horizontal stretching or compression, doesn't result in a y-intercept.