What is the image of (-2, -5) reflected across x=2?

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Answer 1 · 2017-10-18T16:13:25

#:.(-2,-5)rarr(6,-5)#

A good diagram for these types of questions is useful

enter image source here

From the diagram we see the object point #(-2,-5)#

is mapped to #(x',y')# by a reflection in the line #X=2#

we note

(1) the y-coordinate is unaffected.

(2) for reflections the distance from the line of reflection to the object is equal to the distance to the image point.

#:. a=2+2=4units#

so the image point is 4 units from the line of reflection

ie #x'=2+4=6#

#:.(-2,-5)rarr(6,-5)#