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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 is the figure if being moved up or down.
We are given the graph of the trapezoid. Let's name its vertices A, B, C and D.
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 is the figure if being moved up or down. We want to draw the image of our figure after a translation 3 units to the left and 2 units up. Therefore, we will subtract 3 from the x-coordinate and add 2 to the y-coordinate of each vertex.
Vertices of ABCD | (x-3,y+2) | Vertices of A'B'C'D' |
---|---|---|
A(0.5,2) | (0.5 - 3,2 + 2) | A'(- 2.5, 4) |
B(3.5,2) | (3.5 - 3,2 + 2) | B'(0.5,4) |
C(5,- 3) | (5 - 3,- 3 + 2) | C'(2,- 1) |
D(- 1,- 3) | (- 1 - 3,- 3 + 2) | D'(- 4,- 1) |