The vertices of triangle QRS are located at Q(2,2), R(-4,2), S(-4,-4).

Question

The vertices of triangle QRS are located at Q(2,2), R(-4,2), S(-4,-4).

Determine the coordinates of the vertices of each image of triangle QRS after the following transformations are performed.

Triangle QRS is reflected over the x-axis.

Answer 1

You should do as Mark suggests in the comments. Plot the triangle on a coordinate plane, then reflect each vertex across the x-axis. You can plot the points manually or use an on-line app such as desmos.com or geogebra.com. For a reflection, draw a line directly from the point to the x-axis, then continue across the x-axis by an equal distance - that's where the image is. Put a point there. Then you can read the coordinates of the image points directly off of your graph and maybe learn something along the way.

Answer 2

Here is an interactive explanation on Desmos. Hopefully it's not too complicated: https://www.desmos.com/calculator/ayr768ehft

A reflection across the x-axis does not change the x-coordinate. It may only change the y-coordinate. It switches the sign of the y-coordinate. So, for example, the point (2,2) would become (2,-2). Can you do the rest?