When you're learning about translating square root functions, learning about vertical translations is a MUST! Check out this tutorial and see what it takes to translate a square root function vertically.
When you're learning about translating square root functions, learning about horizontal translations is a MUST! Check out this tutorial and see what it takes to translate a square root function horizontally.
Think about sliding a penny on a table. All you're doing is moving the penny to a new location on the table. That's basically all that's happening when you translate a function! When you translate a function, you're just sliding it to a new location on the coordinate plane!
A great way to better understand how to translate a function is to practice! This tutorial takes you through the steps of graphing a function that's been translated up and to the right.