describe a single translation that would result from moving a figure,2 units left and 1 unit down then 5 units right and six units up
To describe a single translation resulting from a series of movements, we need to combine the individual movements to determine the final translation.
The figure is initially moved 2 units left and 1 unit down. This means that every point on the figure will be shifted 2 units to the left and 1 unit down from its original position.
Next, the figure is moved 5 units right and 6 units up. This means that every point on the figure will be shifted an additional 5 units to the right and 6 units up from its previous position.
To find the total translation, we can add up the individual movements:
- 2 units left and 1 unit down
- 5 units right and 6 units up
Combining these movements, the figure will be translated 2 units left, 1 unit down, 5 units right, and 6 units up in relation to its original position.
To describe a single translation that would result from moving a figure, we need to follow the given instructions step by step.
1. Move the figure 2 units to the left: To do this, shift the figure horizontally to the left by two units. This means that all the points of the figure will move two units to the left.
2. Move the figure 1 unit down: Similarly, shift the figure vertically downwards by one unit. All the points of the figure will move one unit downward.
3. Move the figure 5 units to the right: Now, shift the figure horizontally to the right by five units. All the points of the figure will move five units to the right, opposite to the first movement.
4. Move the figure 6 units up: Finally, shift the figure vertically upwards by six units. All the points of the figure will move six units upward, opposite to the second movement.
By following these instructions, the resulting translation of the figure will be 2 units left, 1 unit down, 5 units right, and 6 units up.
(x,y) ---> (x-2, y-1)
then
(x-2,y-1) --> (x-2 + 5, y-1 + 6)
or
(x,y) ---> (x+3, y+5)
illustrate by picking any point and seeing what happens.