Question

translate the shape by 1 unit to the right and 5 units down. show your work here draw

Explanation:

Step1: Recall translation rule

For a point $(x,y)$ in a coordinate - plane, translating it 1 unit to the right and 5 units down gives the new point $(x + 1,y-5)$.

Step2: Translate each vertex

Let's assume the vertices of the shape are $(x_1,y_1),(x_2,y_2),\cdots$. The new vertices will be $(x_1 + 1,y_1-5),(x_2 + 1,y_2-5),\cdots$. For example, if a vertex is $(2,3)$, the new vertex after translation is $(2 + 1,3-5)=(3,-2)$.

Step3: Draw the new shape

Connect the new - translated vertices to form the translated shape.

Answer:

Draw the shape with vertices obtained by applying the translation $(x,y)\to(x + 1,y - 5)$ to each vertex of the original shape.