Question: How do we graph transformations that are reflections?

Answer: Ok first off, lets review what a reflection is:

A reflection is a figure that is flipped over a line of symmetry.
Ok now that we know what a reflection is we must learn that there are two types of reflecions.
There is line symmetry(AKA reflectional symmetry) which is when a line can be drawn down a figure and divide it into identical images.

FIgure 1. Ex. this dog is an example of reflectional symmetry

Then there's line reflection, which is when a figure is flipped over a line to create two mirror images.

Figure 2. this is is an example of line reflection because the car itself is not split into two but there is a line from which the car is flipped over which creates a mirror image of the car.

Ok now that we are familiar with the types of reflections, let's learn how to graph them.
There are rules to follow when using reflection:
When you reflect over x-axis, the x coordinate point stays the same but the y coordinate point changes.
This means: (x,y) turns into --> (x,-y)
And when you reflect over the y-axis, the y coordinate stays the same but the x coordinate point changes.
This means: (x,y) turns into --> (-x,y)

NOW LET'S LOOK AT IT VISUALLY:

Point A was reflected over the x-axis which means that the x point will stay the same but the y point will change. In other words, (2,1) became (2,-1).

NOW YOU TRY! :D

If Point A(13,-5) is reflected over the x-axis, where would point A' be?

                              A)  (13,-5)                                             C) (13,5)
                              B)  (-13,5)                                             D) (-13.-5)