Question

5 reflect across the y - axis. translate 5 units up. rotate 90° clockwise around the origin.

Explanation:

Step1: Reflect across y - axis

The rule for reflecting a point $(x,y)$ across the $y$-axis is $(-x,y)$. Let's assume the vertices of the triangle $PQR$ have coordinates $P(x_1,y_1)$, $Q(x_2,y_2)$, $R(x_3,y_3)$. After reflection across the $y$-axis, the new coordinates are $P'(-x_1,y_1)$, $Q'(-x_2,y_2)$, $R'(-x_3,y_3)$.

Step2: Translate 5 units up

The rule for translating a point $(x,y)$ 5 units up is $(x,y + 5)$. So the new - coordinates after translation are $P''(-x_1,y_1 + 5)$, $Q''(-x_2,y_2+5)$, $R''(-x_3,y_3 + 5)$.

Step3: Rotate 90° clockwise around the origin

The rule for rotating a point $(x,y)$ 90° clockwise around the origin is $(y,-x)$. So the final coordinates of the vertices of the transformed triangle are:
For a point $(x,y)$ after the first two steps, the final point is $(y + 5,x)$.

Answer:

The final position of the triangle is obtained by applying the above - mentioned transformation rules to each of its vertices. Without the actual coordinates of points $P$, $Q$, and $R$, we can't give the exact numerical coordinates of the transformed triangle. But the general transformation rules for each vertex are as described above.