The graph shows that f(x) = 3^x is translated horizontally and vertically to create the function g(x) = 3^(x – h) + k. What is the value of h?


Given:
[tex]\begin{gathered} f(x)=3^x \\ g(x)=3^{(x-h)}+k \end{gathered}[/tex]Find: Value of h,k
Sol:
[tex]f(x)=3^x[/tex]The graph shift 2 unit on a positive x-axis then the graph is:
[tex]g(x)=3^{x-2}[/tex]For baseline move 2 units in the positive y-axis.
[tex]g(x)=3^{x-2}+2[/tex]So the value of h is 2.