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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?

Q: Which of these functions is the reflection of f of x equals x2 across the x - axis?

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It is f(x) = -x^2.

In transformations a reflection across the x axis produces a mirror image

(2.5,-2.75)

c

reflection in the x-axis

Related questions

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.