no, never
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y=1 does not cross the x-axis. It is a line parallel to the x-axis (and therefore can't ever cross it)
Normally the vertical y-axis is considered the dependent variable and the horizontal x-axis the independent variable. ie the variable plotted up the y-axis depends upon the variable plotted along the x-axis.
No
yes perpendicular lines are at right angles to each other. Therefore they have to touch eventually
Of course. A reflection of any symmetric shape about a line perpendicular to its axis of symmetry will be a rotation of 180 degrees around the point on its axis of symmetry which is halfway between the pre-image and the image.