Identify a transformation of the function f(x) = √x by observing the equation of the function g(x) = √x-2

Step-by-step explanation:

The parent function is

Remember that a parent function is the simplest function of its type, like this case the function is the simplest form of radical functions.

The transformed function is

Notice that the difference between these two functions is that has 2 units less on the vertical or dependent variable, such transformation indicates a vertical translation downwards.

Therefore, the transfomation made is a vertical translation 2 units downwards.

"if it is my birthday, then it is snowing"

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.