What would be the image of the given reflection...

Question

What would be the image of the given reflection, r x=2 (1,-4)=( , )?

How did you determine it?

I need help on this so I can understand these kinds of problems in the future.

Answer 1

If the point (1,-4) is reflected in the line x=2 (a vertical line), then the y-coordinate is unchanged.  The x-coordinate of the original point (preimage) is one unit less than 2, so the x-coordinate of the reflected point is one unit more than 2.  

 

So, the point (1,-4) is reflected to the point (3,-4).

Answer 2

2,-8

 

 

the graph becomes twice as wide