How to Graph Translations on the Coordinate Plane?
Translations on the Coordinate Plane – Example 1:
Translations on the Coordinate Plane – Example 2:
Translation: \(4\) units left and \(3\) units up.
Solution:
First, write the original coordinates of the points:
\(I=(3, 0)\) \(G=(2, -4)\) \(H=(5, -2)\)
Use this coordinate notation for translating each point: \((x, y)→(x+a, y+b)\)
\(4\) units left →\(a=-4\)
\(3\) units up →\(b=3\)
Then: \(I^\prime=(-1, 3)\) \(G^\prime=(-2, -1)\) \(H^\prime=(1, 1)\)
Now, find new points on the coordinate plane and graph the new triangle by \(I^\prime, G^\prime, H^\prime\) coordinates.
Exercises for Translations on the Coordinate Plane
Graph the image of the figure using the transformation given.
1.Translation: \(5\) units right and \(2\) unit up.
2.Translation: \(3\) units left and \(5\) unit up.
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