Question

The image of the point (–3, –2) in x-axis lies in __________ quadrant.

Answer 1

Under reflection of a point in the x-axis, the abscissa of the point remains unchanged while the sign of the ordinate is changed. So, the image of the point (x, y) in the x-axis is (x, −y).

Thus, the image of the point (–3, –2) in the x-axis is (–3, 2).

In II quadrant: x < 0, y > 0

In the point (–3, 2), abscissa is negative and ordinate is positive. So, this point lies in the second quadrant.

The image of the point (–3, –2) in x-axis lies in __second__ quadrant.