We did this with a point, but the same logic is applicable when you have a line or any kind of figure. We will then move the point 3 units UP on the y-axis, as the translation number is (+3). So, we will move the point LEFT by 1 unit on the x-axis, as translation number is (-1). This process must be done from right to left () Composition of transformations is not commutative. You may also see the notation written as. A notation such as is read as: 'a translation of ( x, y) ( x + 1, y + 5) after a reflection in the line y x'. We are given a point A, and its position on the coordinate is (2, 5). The symbol for a composition of transformations (or functions) is an open circle. Note that the x-coordinate remains unchanged, while the y-coordinate is the negative of the original point. Stuck Review related articles/videos or use a hint. Draw the image of A B C under the translation ( x, y) ( x, y + 3). : (2,3) and ( 3, 2) and reflect them in the x-axis. Math > High school geometry > Performing transformations > Translations. Use the same logic for y-axis if the translation number is positive, move it up, and if the translation number is negative, move the point down. In the animation below, you can see how we actually translate the point by 1 1 in the x direction and then by +2 + 2 in the y direction. Explanation: Use squared paper and plot some coordinate points. On our x-axis, if the translation number is positive, move that point right by the given number of units, and if the translation number is negative, move that point to its left. The key to understanding translations is that we are SLIDING a point or vertices of a figure LEFT or RIGHT along the x-axis and UP or DOWN along the y-axis.
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