Respuesta :
Using translation concepts, it is found that h = 5.
What is a translation?
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, function f(x) is defined by:
[tex]f(x) = (2.5)^x[/tex]
Function g(x) is defined by:
[tex]g(x) = (2.5)^x + g[/tex]
f(x) crosses the y-axis at (0,1), while g(x) crosses it at (0,6), which means that g(x) is f(x) added to 5, hence h = 5.
You can learn more about translation concepts at https://brainly.com/question/21197885