Answer:

The graph of g(x) is obtained by shifting down the graph of f(x) by 17 units.

Step-by-step explanation:

Given : The functions f(x) and g(x) are described below:

f(x) = 32x + 8  and g(x) = 32x − 9

To find : The graph of g(x) is obtained by shifting down the graph of f(x) by _____ units.

Solution : We have given that

Parent function f(x) = 32x + 8

Transformed function g(x) = 32x − 9.

We can write it in form of parent by adding and subtracting 8 on right side

g(x) = 32x − 9  + 8 -8

g(x) = 32x + 8 -9 -8.

g(x) = 32x + 8 -17.

By the transformation rule we can write f(x) – k mean function f(x) is shifted down by k unit.

We can see The graph of g(x) is obtained by shifting down the graph of f(x) by 17 units.

Therefore, The graph of g(x) is obtained by shifting down the graph of f(x) by 17 units.