Given the point:
(x, y) ==> (0, -6)
Let's perform the transformation below.
D½: A dilation of ½
After a dilation of ½, we have:
[tex]D_{\frac{1}{2}}=(x,\text{ y)}\Longrightarrow(0,-6)\Longrightarrow(0\ast\frac{1}{2},\text{ -6}\ast\frac{1}{2})\Longrightarrow(0,-3)[/tex]
Followed by a reflection across the y-axis:
[tex]r_{y-axis}\colon(x,\text{ y) }\Longrightarrow(-x,\text{ y)}[/tex]
After a reflection across the y-axis, the x-coordinate changes why the y-coordinate remains the same.
We have:
[tex]r_{y-axis}\colon(0,-3)\Longrightarrow(-0,-3)\Longrightarrow(0,-3)[/tex]
Therefore, the image after a dilation of ½ and a reflection across the y-axis is:
(0, -3)
ANSWER:
(0, -3)
