Identify the parent function that can be used to graph the function (x) = - 3x + 2 a. hx) = x c. f(x) = x b. f(x) = [x] d. f(x) = 21

c

Step-by-step explanation:

the function (x) = -3x+2  can be obtained by :

* stretching the function (x)=x in the y-axis by 3 units gives 3x

* then reflecting about x-axis  gives -3x

* finally shifting it up by 2 units gives -3x+2

so the parent function is f(x) = x

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.