If f(x) = x3, which of the following describes the graph of f(x − 3)?
the graph of f(x − 3) is a vertical shift of f(x) = x3 three units up.
the graph of f(x − 3) is a vertical shift of f(x) = x3 three units down.
the graph of f(x − 3) is a horizontal shift of f(x) = x3 three units to the right.
the graph of f(x − 3) is a horizontal shift of f(x) = x3 three units to the left.

2

step-by-2step explanation:

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.