the graph shows the function f(x)=(2.5)^x was horizontally translated left by a value of h to get the…

the graph shows the function f(x)=(2.5)^x was horizontally translated left by a value of h to get the function g(x)=(2.5)^(x - h). what is the value of h? -2 0 2 5

the graph shows the function f(x)=(2.5)^x was horizontally translated left by a value of h to get the function g(x)=(2.5)^(x - h). what is the value of h? -2 0 2 5

Answer

Explanation:

Step1: Recall translation rule

For a function $y = f(x)$ translated horizontally to $y=f(x - h)$, a left - shift of $a$ units means $h=-a$.

Step2: Determine the shift value

The function $f(x)=(2.5)^x$ is shifted left by 2 units to get $g(x)=(2.5)^{x - h}$. According to the rule, when shifted left by 2 units, $h=- 2$.

Answer:

-2