Question

Describe how the graph of g(x) is related to the parent function f(x). f(x) = 4^x g(x) = 4^x – 2

Answer 1

Answer:

g(x) is translated down 2 units from f(x)

Step-by-step explanation:

Adding -2 to the function value moves it down 2 units.

Answer 2

Answer:

The graph of f(x) is shifted to right by 2 units to get graph of g(x).

Step-by-step explanation:

We have been given two functions $f(x)=4^x$ and $g(x)=4^{x-2}$. We are asked to find the graph of g(x) is related to the parent function f(x).

Let us recall transformation rules.

$f(x)\rightarrow f(x-a)=\text{Graph shifted to right by a units}$

$f(x)\rightarrow f(x+a)=\text{Graph shifted to left by a units}$

$f(x)\rightarrow f(x)-a=\text{Graph shifted downwards by a units}$

$f(x)\rightarrow f(x)+a=\text{Graph shifted upwards by a units}$

Upon comparing the graph of f(x) to g(x), we can see that $g(x)=f(x-2)$, therefore, the graph of f(x) is shifted to right by 2 units to get graph of g(x).