Hello SneakySuppose that the point is transformed into the point , by a reflection in the line . Then, since the reflection line is horizontal, the x-coordinate doesn't change, and so:

(1)

The fundamental property of a reflection is that the distances of a point and its reflection from the mirror-line are equal. Let's assume (and it won't make any difference if it's the other way around) that and . Then these distances are and , respectively. So

(2)

So, since , the equation relating and , when we use (1) and (2), is:

and so the equation of the reflected graph is

Do this in the same way. Assume that . Then, since the mirror-line is vertical(b) Find the equation of the graph that results from reflecting about

the linex= 2.

y=_____________________________

2

How would i solve this, and can u show the steps?

and this time it's the horizontal distances from the mirror-line that are equal. So

And, once again, , so how are and related? This will then give you the equation of the transformed graph.

Can you complete this now?

Grandad