Question

graph the image of trapezoid tuvw after a translation 2 units left and a reflection over the y-axis.

Explanation:

Identify original coordinates

$$ T(-4, 3),\quad U(-4, 4),\quad V(-1, 5),\quad W(-1, 2) $$

Apply translation 2 units left

$$ (x, y) ightarrow (x - 2, y) $$

$$ T'(-6, 3),\quad U'(-6, 4),\quad V'(-3, 5),\quad W'(-3, 2) $$

Apply reflection over the y-axis

$$ (x, y) ightarrow (-x, y) $$

$$ T''(6, 3),\quad U''(6, 4),\quad V''(3, 5),\quad W''(3, 2) $$

Answer:

The coordinates of the final image \(T''U''V''W''\) after the transformations are:

$$ T''(6, 3),\quad U''(6, 4),\quad V''(3, 5),\quad W''(3, 2) $$