Question

Select the correct answer.

Which point is a reflection of 01-4, -6) across the x-axis and the -axis?
a) point a
b) point b
c)point c
d)point d

Answer 1

If we have a point (x, y), a reflection across the x-axis converts the point to (x, -y)

While a reflection across the y-axis converts the point to (-x, y)

Then if we apply both of these transformations to our point, the reflection of (x, y) across the x-axis and then across the y-axis is (-x, -y)

Then the reflection of (-4, -6) across these two axes, is:

(- (-4), - (-6)) = (4, 6)

The correct option is B.