Question

The logarithmic functions, f(x) and g(x), are shown on the graph. What is the equation that represents g(x)? Explain your reasoning.

Answer 1

• y=logx

The graph shifted 1 units left means change in x axis.

x decreased by 1

So the changes equation is

• y=log(x+1)

The graph shifted 4 units up means change in y axis

y increased by 4

so final equation is

• g(x)=log(x+1)+4

Answer 2

Answer: g(x) log 10 (x+1) + 4

Step-by-step explanation:

Goes 1 to the left

and 4 up