Question

What is the image point of (0, -6) after the transformation D: o Ty-axis?

Answer 1

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:

`D_{(1)/(2)}=(x,\text{ y)}\Longrightarrow(0,-6)\Longrightarrow(0\ast(1)/(2),\text{ -6}\ast(1)/(2))\Longrightarrow(0,-3)`

Followed by a reflection across the y-axis:

`r_(y-axis)\colon(x,\text{ y) }\Longrightarrow(-x,\text{ y)}`

After a reflection across the y-axis, the x-coordinate changes why the y-coordinate remains the same.

We have:

`r_(y-axis)\colon(0,-3)\Longrightarrow(-0,-3)\Longrightarrow(0,-3)`

Therefore, the image after a dilation of ½ and a reflection across the y-axis is:

(0, -3)

ANSWER:

(0, -3)