If the parent function f(x)=3 square root of x is transformed to g(x)=3 square root of x+2-4

Graph A is the correct graph for the transformations shown in the function g(x)

Step-by-step explanation:

Within the function

We can see two transformations occur from the parent function. The first is a slide along the x-axis and the second is a slide along the y-axis

Under the radicand we see that it is x+2. This means that the function has been shifted 2 units left from the parent function

As there is a -4 outside of the radicand, it would mean that the function has been shifted 4 units down as well.

This means that we are looking for a function centered around the point (-2,-4)

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!