Figure WXYZ is transformed using the rule . Point W of the pre-image is at (1, 6). What are the coordinates of point W" on the final image? (–5, 8) (–3, –8) (5, –8) (3, 8)

Here we have two rules. The first one is a reflection across the y-axis and the second one is a translation. Let's apply these rules in two steps:

First rule:

Reflection across the y-axis:

[tex](x,y)\rightarrow (-x,y)[/tex]

By following this rule, you must multiply the x-coordinate of the point by -1. So here we reflect point W. Then:

[tex]W'(-1,6)[/tex]

Second rule:

[tex]T(x+4,y+2)[/tex]

This transformation shift each point 4 units to the right and 2 units up. Here we shift point W' that was previously transformed. Then:

[tex]W''(x,y)=W''(-1+4,6+2) \\ \\ \boxed{W''(x,y)=W''(3,8)}[/tex]

joaobezerra joaobezerra · Answer 2 · 2021-09-27T15:32:30+02:00

Applying the transformations, it is found that the coordinates of point W'' on the final image are (3, 8).

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The first transformation is a reflection across the y-axis, which has rule [tex](x,y) \rightarrow (-x,y)[/tex]
Applying for W(1,6), we get W'(-1,6).
The second transformation is a translation defined by [tex]T(x,y) \rightarrow T(x + 4, y + 2)[/tex].
Applying for W'(-1,6), we get W''(3,8), as [tex]-1 + 4 = 3[/tex] and [tex]6 + 2 = 8[/tex].

A similar problem is given at https://brainly.com/question/10547006