Question

Function g is graphed here. If function f is the parent exponential function (1/2)x ,what is the equation of transformed function g in terms of f?

g(x)=

Answer 1

The equation of the transformed new function g in terms of f is

g(x) = f(x) + 1

How to find the transformed equation

The equation of the primary function f(x) = x^(0.5) is plotted and compared with the equation of the transformed function

Comparing the two graphs, it can be deduced that the difference in the two graphs is 1 unit up

This is represented mathematically as

g(x) = f(x) + 1