Describe how to transform the graph of f into the graph of g. f as a function of x is equal to the square root of x and g as a function of x is equal to the square root of negative x a- reflect the graph of f across the y-axis. b- the graph shifts up one unit. c- reflect the graph of f across the y-axis and then reflect across the x-axis. d- reflect the graph of f across the x-axis.

The answer would be: A- Reflect the graph of f across the y-axis. 

In this question, the function would be:
f(x)= 
g(x)= 

The difference between the two functions would be the g(x) have a minus sign inside the root. We can conclude that the transformation causing the x--->-x'.
When you reflect a function on y-axis, the value of x would be -x. That means a point that was (1, 1) would become (-1, 1). The changes would look like this
x=-x'
f(x)= 
f(x)=