Question

I is the origin and P is the (4,3). Rx and Ray are reflections around the x- and y- axes

Answer 1

Answer:

The correct option is 1. The image of (2,4) is (4,-8).

Step-by-step explanation:

The given rule is

$R_x{\circ}D_{o,2}:(2,4)$

The transformations perform from right to left. $D_{o,2}$ means dilation with scale factor 2 and center of dilation is origin.

The given rule defines the dilation with scale factor 2 and center of dilation is origin followed by reflection across x-axis.

If a figure dilated by scale factor k and the center of dilation is origin, then

$(x,y)\rightarrow (kx,ky)$

The scale factor is 2,

$(x,y)\rightarrow (2x,2y)$

$(2,4)\rightarrow (4,8)$

If a figure reflected across x-axis, then x-coordinate remains the same but the sign of y-coordinate is changed.

$(x,y)\rightarrow (x,-y)$

$(4,8)\rightarrow (4,-8)$

Therefore image of (2,4) is (4,-8) and option 1 is correct.