Question

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.

Answer 1

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

In this question, the function would be:
f(x)=
`√(x)`
g(x)=
`√(-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)=
`√(x)`
f(x)=
`√(-x')`