Question

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.

Answer 1

what dies it give as an axis of symmetry?

Answer 2

*does

Answer 3

@amistre64 the axis of symmetry is x = 2

Answer 4

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

Answer 5

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

Answer 6

(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

Answer 7

@amistre64 ok, thanks!