Question

The graph shows that is translated horizontally and vertically to create the function .

Answer 1

According to the function transformations, the value of h is -2

How to determine the value of h?

The complete question is in the attachment

The functions are given as:

$f(x) = (2.5)^x$

$g(x) = (2.5)^{x-h$

From the question, we understand that the function f(x) is translated to the left to get g(x)

From the attached graph, we can see that the function h(x) is 2 units to the left of f(x).

This transformation is represented by:

(x, y) => (x + 2, y)

So, we have:

x - h = x + 2

Evaluate the like terms

h = -2

Hence, the value of h is -2

Read more about function transformations at:

brainly.com/question/3381225

#SPJ1