Functions

Then, 

        Graph of f(x)+k will shift vertically k units up.

        Graph of f(x)-k will shift vertically k units down.

        Graph of f(x+k) will shift horizontally k units left.

        Graph of f(x-k) will shift horizontally k units right.

        Graph of -f(x) will reflect vertically or about x-axis.

        Graph of f(-x) will reflect horizontally or about y-axis.

        Graph of kf(x) will vertically stretch k times. Here, k must be greater than 1.

        Graph of f(kx) will horizontally compress k times. Here, k must be greater than 1.

${\log }_3(11x-8)=1+\frac{2}{{\log }_{x}3}$