Question

If the parent function is
`√(x)`, describe the translation of the function
`√(x) +7`.

Seven units to the left of
`√(x)`.

Seven units up from
`√(x)`.

Seven units down from
`√(x)`.

Seven units to the right of
`√(x)`.

Answer 1

B

Explanation:

If
`y=f(x)` is a parent function, then

• 
  `y=f(x+a)` is translated parent function a units to the left;
• 
  `y=f(x-a)` is translated parent function a units to the right;
• 
  `y=f(x)+a` is translated parent function a units up;
• 
  `y=f(x)-a` is translated parent function a units down.

In your case, parent function is
`y=√(x),` then the function
`y=√(x)+7` is translated parent function 7 units up.