Rewrite y = square root 25x-75)+3 to make it easy to graph using a translation. describe the graph explain work

The given function is
The parent function of the given function is
So, the given function will be written as following :
⇒⇒ add (-3) to both sides

⇒⇒ take 25 as common from 25x and 75
⇒⇒ bring 25 outside the square root



So, the given function can be graphed easily from the parent function √x
By translation √x from (0,0) to point (3,3), then dilated with factor 5
See the attached figure 
Parent function √x ⇒⇒⇒ with blue color
The given function ⇒⇒⇒ with red color 

So, The answer is 

First step is to get rid of the square root. remember that a square root is the same as raising to the (1/2) power. see below: multiply exponents per exponent rules to get: remember you subtract exponents from the denominator and add exponents in the numerator so: simplify further: so a is the correct choice. if you don't understand this google exponent rules and it will you understand. look at the image results.