i need someone to check to make sure i am right so far, and a little help!: rewrite y=sqrt of (25x-75)+3 to make it easier to graph and desribe the translation

Question

welshfella · Answer

take 25 out of the parentheses:-
= 5 sqrt(x -3) + 3

anonymous · Answer

i simplified it to where it is $$y=5\sqrt{(x-3)+3}$$ but im confused how many units it translates and in which direction

welshfella · Answer

oh i see the square root covers the + 3 as well

welshfella · Answer

are you sure of that?  - if so we can simplify the square root to sqrt x

phi · Answer

I hope the problem is
$$ y = \sqrt{25x-75} + 3$$
otherwise it's an ugly equation...

phi · Answer

if it is 
$$ y = \sqrt{25x-75} + 3 $$
then as welsh posted, you have
$$ y = 5 \sqrt{x-3}+3 $$
the "parent graph" is $ y= \sqrt{x} $
the +3 shifts the graph up
the (x-3) shifts the graph to the right 3 units
the 5 makes the graph "steeper"

anonymous · Answer

yeah, it is. that was my bad

anonymous · Answer

and thank you to both of you !

welshfella · Answer

yw