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 $x'=2+4=6$

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