All y-values in the function are multiplied by -1. This function is 'flipped' over the x-axis.
the z axis is at right angles to both the x and the y axis. All 3 axis pass through the origin.
Example: if you have a point with the coordinates (2,4), a reflection over the y-axis will result in the point with coordinates (-2,4).
x=2 means that on a graph, on the x axis, there is a point. Also, since it is just x=2 it means that the slope is undefined, or that there is a line that is going through that point that is perpendicular to the x-axis. So basically there is a line that goes through (2,0) that is parallel to the y-axis.
Vertical. Vertical. Vertical. Vertical.
There is none because it will be a straight vertical line cutting through the x axis.
reflection in the x-axis
y = -f(x) is a reflection of y = f(x) in the x axis.
The coordinate of a point in 1-Dimensional space will remain unchanged through such a reflection.
In transformations a reflection across the x axis produces a mirror image
For reflection in the x-axis, change the sign of the y-coordinate of every point.For reflection in the y-axis, change the sign of the x-coordinate of every point.
(x,-y)
It will be where it was, to start with.
For a reflection over the x axis, leave the x coordinate unchanged and change the sign of the y coordinate.For a reflection over the y axis, leave the y coordinate unchanged and change the sign of the x coordinate.
For a reflection across the x axis, both the slope and the y intercept would have the same magnitude but the opposite sign.
Reflection across the y-axis changes the sign of the x - coordinate only, that is, (x, y) becomes (-x, y).
Reflection in the y-axis.
It is f(x) = -x^2.