Question

What are the coordinates of the image produced by applying the composition rx o ry to the point (–3, –6)?A. (–6, –3) B.(3, –6)C.(3, 6)D.(6, 3)

Answer 1

C. (3,6)

Explanation:

We are given that,

The point (-3,-6) is transformed by the rule
`R_(x)\circ R_(y)`.

That is, the point is reflected across y-axis and then reflected across x-axis.

That is, the rule for the transformation is (x,y) → (-x,y) → (-x,-y).

So, we get,

(-3,-6) → (3,-6) → (3,6)

Thus, the co-ordinates of the image are (3,6).

So, option C is correct.

Answer 2

r x - reflection over the x-axis;
r y - reflection over the y-axis.
r x ( - 3, - 6 ) = ( - 3 , 6 )
r y ( - 3, 6 ) = ( 3, 6 )
Answer: C ) ( 3, 6 )