Respuesta :

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.