Question

1. graph the image of tuv after the following sequence of transformations:

translation 16 units right and 19 units up
reflection across the y - axis.

1. figure m and its congruent image, figure n, are graphed on the coordinate plane below.

Explanation:

Step1: Identify original coordinates

From the graph:
$T(-12, -7)$, $U(-4, -10)$, $V(-8, -14)$

Step2: Apply translation (16 right, 19 up)

Add 16 to x-coordinate, 19 to y-coordinate:
For $T$: $(-12+16, -7+19)=(4, 12)$
For $U$: $(-4+16, -10+19)=(12, 9)$
For $V$: $(-8+16, -14+19)=(8, 5)$

Step3: Reflect across y-axis

Multiply x-coordinate by $-1$:
For translated $T$: $(-4, 12)$
For translated $U$: $(-12, 9)$
For translated $V$: $(-8, 5)$

Answer:

The coordinates of the final image are $T'(-4, 12)$, $U'(-12, 9)$, $V'(-8, 5)$. Plot these points and connect them to form the transformed triangle.