The question asks about "these functions". In those circumstances would it be too much to expect that you make sure that there is something that these can refer to?
It is f(x) = -x^2.
In transformations a reflection across the x axis produces a mirror image
c
(2.5,-2.75)
reflection in the x-axis
It is: (1, -5) reflection across the y axis
It is f(x) = -x^2.
In transformations a reflection across the x axis produces a mirror image
For a reflection across the x axis, both the slope and the y intercept would have the same magnitude but the opposite sign.
y = -f(x) is a reflection of y = f(x) in the x axis.
c
(2.5,-2.75)
Reflection across the y-axis changes the sign of the x - coordinate only, that is, (x, y) becomes (-x, y).
A' = (-1, -2)
reflection in the x-axis
f(x) = x + 1, to reflect this across the y-axis you need to reverse all the x values. Essentially, what this means is that, you rewrite f(x) as f(-x) making the function, -x + 1.
You cannot: you need to know the axis or point of reflection.