The red line is a reflection across the x-axis, so the correct option is d.
How to write the equation for the red line?
First, we know that the black line is represented by y = f(x). Here, we can see that the red line is given by a reflection around the x-axis.
This reflection only changes the sign of the right side, then we get that the function of the red line is:
g(x) = -f(x)
Then we can write this as:
y = g(x) = -f(x) = -1*f(x)
If we divide both sides by -1, we get:
y/(-1) = f(x)
Like in option d, so that is the correct one.
If you want to learn more about reflections:
https://brainly.com/question/4289712
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