Question

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)

Answer 1

Answer:

The final image is:

$\boxed{W''(3,8)}$

Explanation:

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:

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

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

$W'(-1,6)$

Second rule:

$T(x+4,y+2)$

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

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

Answer 2

Answer:

(3,8)

Step-by-step explanation: