c
reflection in the x-axis
yup.
In transformations a reflection across the x axis produces a mirror image
For a given coordinate pair. A reflection in the y-axis is making the 'x' term negative. e.g. ( a,b,) ' (-a, b). Similarly for a reflection in the x-axis is making the 'y' term negative. e/.g. ( c,d) ; ( c,-d).
Reflection across the y-axis changes the sign of the x - coordinate only, that is, (x, y) becomes (-x, y).
y = -f(x) is a reflection of y = f(x) in the x axis.
The reflection of a point across the y-axis involves changing the sign of the x-coordinate while keeping the y-coordinate the same. In this case, the point (-1, -5) will reflect to (1, -5) across the y-axis. This is because the x-coordinate changes from -1 to 1, while the y-coordinate remains -5.
c
For a reflection across the x axis, both the slope and the y intercept would have the same magnitude but the opposite sign.
y' = y, x' = -x.
reflection in the x-axis
The y-axis is the symmetry line, so that (5, -3) and (-5, -3) are symmetric points.
yup.
In transformations a reflection across the x axis produces a mirror image
Nothing really happens. y is swapped for -y. But that is what reflection means and so is a tautological answer!
a horizontal reflection is a reflection of the y axis. i.e (-fx)