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

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.

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 and . We are asked to find the graph of g(x) is related to the parent function f(x).

Let us recall transformation rules.

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

b. astronomers

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.