The graph of y=√x is shifted 2 units up and 5 units left, which equation represents the new graph?

a. y=-√x+5) +2

b. y=-√x-2) +5

c. y=-√x+2) -5

d. y=-√x-5) +2

A. .

Step-by-step explanation:

We are given the function .

Now, the function is shifted 2 units up and 5 units to the left.

That is, the function is translated 2 units up and 5 units to the left.

Since, we know,

So, the function translated 2 units up is .

So, the new function translated 5 units left is .

Hence, the equation representing the new function is .

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.

eve and marks ratios are equivalent

step-by-step explanation: