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 .

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

im not sure what this means: mc011-7.jpg

step-by-step explanation: