Answer:
The translation from f(x) to g(x) is a translation of 4 units up (option A)
Step-by-step explanation:
Given:
Graph of f(x) =(1/2)^x ang g(x)
To find:
the transformation from f(x) to g(x)
To determine this, we will pick points on the x-axis and compare the result on the y axis for both graphs
when x = 0
f(x) = 1
g(x) = 5
The difference in value = 5 - 1 = 4
when x = 5
f(x) = 0
g(x) = 4
The difference in value = 4 - 0 = 4
We see the difference in value for the y is constant. This means to get g(x), we will add 4 units to the y coordinates of f(x)
The translation from f(x) to g(x) is a translation of 4 units up (this is because the value of y is positive and on the graph g(x) moves above f(x) on the vertical)