Question

If you are given the graph of (x) -log, X, how could you graph tx) - log.(x+3)?

Answer 1

Answer: Shift the original graph 3 units to the left

Step-by-step explanation:

f(x) = -log(x)

g(x) = -log(x+3)

Note how g(x) = f(x+3).

Or you can think of it this way

f(x) = -log(x)

f(x+3) = -log(x+3) ... replace every x with x+3

f(x+3) = g(x)

When going from f(x) to f(x+3), we shift the entire f(x) curve 3 units to the left.