1. Translations
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Translations are done by adding or subtracting values from the x-coordinate if the figure is being moved left or right, and from the y-coordinate if the figure is being moved up or down.
Graph:
Vertices: X'(- 6,- 7), Y'(- 5,- 4), Z'(0,- 5)
Let's start by plotting the given points and connecting them to draw our triangle.
Translations are done by adding or subtracting values from the x-coordinate if the figure is being moved left or right, and from the y-coordinate if the figure is being moved up or down. We want to draw the image of our figure after a translation 2 units left and 3 units down. Therefore, we will subtract 2 from the x-coordinate and subtract 3 from the y-coordinate of each vertex.
Vertices of XYZ | (x-2,y-3) | Vertices of X'Y'Z' |
---|---|---|
X(- 4,- 4) | (- 4 - 2,- 4 - 3) | X'(- 6,- 7) |
Y(- 3,- 1) | (- 3 - 2,- 1 - 3) | Y'(- 5,- 4) |
Z(2,- 2) | (2 - 2,- 2 - 3) | Z'(0,- 5) |