Answer:
The value of h is:
2
Step-by-step explanation:
We are given the graph of the parent function as:
[tex]f(x)=3^x[/tex]
and the the transformed function g(x) is given by:
[tex]g(x)=3^{x-h}+k[/tex]
The function g(x) represents that the original function f(x) is shifted h units to the right and k units upward.
This means that any point on the function f(x) i.e. (x,y) is transformed to (x+h,y+k)
The point (0,1) is transformed to (2,3)
i.e.
(0+h,1+k) =(2,3)
i.e.
(h,k+1)=(2,3)
i.e.
h=2 and k=2
Hence, the value of h is: 2
The function g(x) is given by:
[tex]g(x)=3^{x-2}+2[/tex]
