Using translation concepts, it is found that the value of h is 5. so option D is correct.
What is a translation?
A translation can be represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
When the expression of function is such that it involves the input to be present as exponent of some constant, then such function is called exponential function.
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-h[/tex]
OR
[tex]g(x) = (2.5)^x + g[/tex]
Since f(x) 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.
Using translation concepts, it is found that the value of h is 5. so option D is correct.
You can learn more about translation concepts at brainly.com/question/21197885
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