The graph of the funxtion f(x)=|3x| is translated 4 units up. what is the equation of the transformed function

Step-by-step explanation:

Let the transformed function be .

Given:

The parent function given is:

Now, the above function is translated up by 4 units.

As per the rules of transformations, if a graph of a function is translated vertically up by 'C' units, then the rule for the transformation is given as:

So, 4 units will be added to the given function to get the transformed function. Therefore,

Hence, the transformed function of is given as .

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.