Question

Compare the graphs below of the logarithmic functions. Write the equation to represent g(x). g(x) = log(x) − 4 g(x) = log(x) + 4 g(x) = log(x + 4) g(x) = log(x − 4) (Picture Below)

Answer 1

Answer:

$g(x)=log(x-4)$

Step-by-step explanation:

Function Shifts

The equation y = f(x + h) shifts the graph of y = f(x) to the left h units. Similarly, the equation y = f(x - h) shifts the graph of y = f(x) to the right h units.

By comparison, It can be noted that the graph of g is shifted 4 units to the right while conserving the same shape and height of the logarithm function. It matches the second case mentioned above, so the equation of g is :

$\boxed{g(x)=log(x-4)}$