How to Graph Translations on the Coordinate Plane?

A translation slides a figure across the coordinate plane without rotating or resizing it. Every point moves the same distance in the same direction, so you add the same amount to each x-coordinate and each y-coordinate.

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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