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
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 line x = 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?