Question

translation of shapes. find the image of each shape using the translation given. 1. 2 units down and 4 units right 2. 2 units left and 3 units down 3. 2 units left 4. 2 units left and 3 units up 5. 6 units up and 8 units right 6. 1 unit right and 5 units down 7. 3 units up and 1 unit left 8. 5 units down 9. 2 units down and 4 units left

Explanation:

Step1: Recall translation rules

Translation of a point $(x,y)$ in a coordinate - plane: moving $a$ units left means $x'=x - a$, moving $a$ units right means $x'=x + a$, moving $b$ units up means $y'=y + b$, and moving $b$ units down means $y'=y - b$. For each shape, we apply these rules to each vertex of the shape.
For example, if a vertex of a shape has coordinates $(x,y)$ and the translation is 2 units left and 3 units up, the new coordinates of the vertex will be $(x - 2,y+3)$.
We repeat this process for all vertices of each shape in the given problems.
Since this is a visual - based problem, we would draw the new shape on the grid after calculating the new coordinates of all vertices.

Answer:

The new shapes are drawn on the grid according to the translation rules applied to each vertex of the original shapes. (As this is a visual problem, a detailed graphical answer cannot be fully presented in text - only the general method is described. In practice, one would draw the new shapes on the provided grids.)