How do I reflect a point in the axis of symmetry? For example, my textbook says that (0,6) reflected is (4,6) but I don't understand why that is.

Question

amistre64 · Answer

what dies it give as an axis of symmetry?

amistre64 · Answer

*does

mirandaregina · Answer

@amistre64 the axis of symmetry is x = 2

amistre64 · Answer

you do see that 2 is the halfway point between 0 and 4 then right?

amistre64 · Answer

your point (0,6) is not on the axis of symmetry, its on the y axis

amistre64 · Answer

(0,6) reflects to (k,6) thru x=2

subtract 2 from all x parts

(-2,6) reflects to (k-2,6) thru x=0

since we are reflected about x=0 now,  k-2 = -(-2),  k=4

mirandaregina · Answer

@amistre64 ok, thanks!