How Do You Graph a Reflection of a Function on the Same Set of Axes?

[HelloMotto]

Homework Statement

Given f(x)= square root of x - 4, write the equation for -f(x) and f(-x).
Sketch the three graphs on the same set of axes
Determine any points that are invariant for each reflection

The Attempt at a Solution

well basically I did the first part of the question and the result i got was
-f(x) = -square root of X + 4
f(-x) = square root of -x -4

the second part where it asks to graph these 3 equations, I've graphed the f(x) equation and the -f(x) equation but I can't graph the f(-x) equation. Simply because i get an error when i try to square root a negative number. So how would i graph this kind of eqation?

 

[rock.freak667]

...-f(x) is a reflection in the x-axis
and f(-x) is a reflection in the y-axis

 

[HallsofIvy]

Do mean f(x)= sqrt(x+ 4) or f(x)= sqrt(x)+ 4?
If the first, the domain of f is x+4\ge 0 or x \ge -4 and f(-x) = sqrt(-x+ 4) has domain -x+4\ge 0 or x\le 4

If the second, the domain of f is x\ge 0 and f(-x)= sqrt(-x)+ 4 has domain x\le 0.

You have to take values of x in the correct domain in order to graph f(-x). In any case, rock.freak667 is correct: the graph of f(-x) is the refection of the graph of f(x) in the y-axis.