Figure $$ W X Y Z $$ is transformed using the rule $$ F_{\text {v-axte }}{ }^{\circ} T_{-4,2}(x, y) $$. Point $$ W $$ of the pre-image is at $$ (1,6) $$. What are the coordinates of point $$ W^{\prime \prime} $$ on the final image? $$ \begin{array}{l}(-5,8) \ (-3,-8) \ (5,-8) \ (3,8)\end{array} $$

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To determine the coordinates of point $$ W'' $$ after applying the given transformation $$ F_{\text{v-axte}} \circ T_{-4,2}(x, y) $$, we need to break down the transformation into its components:

1. **Translation $$ T_{-4,2} $$**:
   - This transformation shifts a point by $$(-4, 2)$$.
   - Applying it to point $$ W(1, 6) $$:
     $$
     (1, 6) + (-4, 2) = (-3, 8)
     $$
   
2. **Reflection $$ F_{\text{v-axis}} $$**:
   - Assuming "v-axte" is a typo for "v-axis," this transformation reflects a point across the vertical (y) axis.
   - Reflecting the translated point $$(-3, 8)$$ across the y-axis:
     $$
     (-3, 8) \rightarrow (3, 8)
     $$

Therefore, the coordinates of point $$ W'' $$ on the final image are $$ \boxed{(3,8)} $$.
The coordinates of point $$ W'' $$ after the transformation are $$ (3, 8) $$.

Figure is transformed using the rule
. Point of the pre-image is at . What are the coordinates of point on the final
image?

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Figure is transformed using the rule . Point of the pre-image is at . What are the coordinates of point on the final image?