Question

let f(x)=log_2(x) and g(x)= 4log_2(x+3). Which of the following accurately compares the graph of f(x) and g(x)

Answer 1

$\begin{gathered} f(x)=\log _2x \\ g(x)=4\log _2(x+3) \end{gathered}$

Therefore,

$\begin{gathered} \text{The graph of g(x) is the graph of f(x) translated 3 units to the left and then vertically stretched} \\ by\text{ a factor of 4} \end{gathered}$