Question

Samantha's plotted the following (5, -10). If the point was reflected over thr y-axis, what quadrant would the reflected point be in?

Answer 1

hasThe first step is to determine what kind of values a point in each of the quadrants have.

For the first quadrant, x and y values are positive; In the second quadrant the x value is negative, but y value is positive; For the third quadrant, x and y values are negative; and for the Forth quadrant, the x value is positive and y value is negative.

While reflections over the x-axis change the quadrant vertically, it is,

1st <--> 4th and 2nd <--->3rd, the y-axis reflection changes is horizontally: 1st <---> 2nd and 3rd <---> 4th.

The point (x, y) = (5, -10) is in the 4th quadrant, which means that after the y-axis reflection it will be in the 3rd quadrant.