How to Graph Translations on the Coordinate Plane?

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.