Question

Which represents the reflection of f(x) = StartRoot x EndRoot over the y-axis?

Answer 1

The reflected function is g(x) = √(-x).

And the correct option is the third one.

Which table represents the reflection?

Remember that for a function f(x), a reflection across the y-axis gives:

g(x) = f(-x).

In this case, the original function was:

f(x) = √x

Then we have:

g(x) = √(-x).

So we can only evaluate this function in values of x such that:

x ≤ 0.

Then the correct option is:

"On a coordinate plane, a graph starts at (0, 0) and goes to the left through (negative 4, 2)."

As when we evalute g(x) in -4, we get:

g(-4) =  √(-(-4)) = √4 = 2

If you want to learn more about reflections:

brainly.com/question/4289712

#SPJ1