Question

If you change the sign of a point's x-coordinate, how does the location of the point change? CLEAR CHECK The point moves down and to the left. The point crosses over the x-axis. The point crosses over the y-axis. Not enough information is provided.

Answer 1

The point crosses over the y-axis

Explanation:

Given

A change in the sign of x coordinate

Required

The effect on the point location

Assume the coordinate to be (x,y).

The above point is located in the first quadrant,

When the x value changes to negative i.e. (-x,y)

The point moves from the first quadrant to the second quadrant

This implies that, the point crosses over the y-axis.

Similarly, assume the coordinate to be (-x,-y).

The above point is located in the third quadrant,

When the x value changes i.e. (x,-y)

The point moves from the first quadrant to the fourth quadrant

This implies that, the point crosses over the y-axis.