How dose the graph of y= square root of x +2 compare to the graph of the parent square root function

It is translated 2 units to the right.

Step-by-step explanation:

y = a * sqrt.(x - h) + k

Slope: a

Center: (h,k)

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the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: