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

f(x) = 32x + 8
g(x) = 32x − 9

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

Suppose that the function f(x) is the parrent function and the graph of the function g(x)=f(x)-a can be obtained from the graph of the parrent function f(x) by shifting down a units.

Rewrite the expression for the function in the following way:

This shows that the shift down is made by 17 units.

17 units

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.

the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

step-by-step explanation: