Performing translations

let's do an example on the performing translations exercise use the translate tool to find the image of triangle WI n for a translation of six units positive six units in the X direction and negative three units in the Y Direction all right so we want to go positive six units in the X direction and negative three units in the Y direction all right so I click on the translate tool click on the translate tool and I want to go so I want to go positive six units in the X Direction so I could pick any point and go six to the right and everything else is going to come with it so one two three four five six so I did that part I translated positive six units in the x direction and negative three units in the Y direction so everything is to go down by three one two three and notice I focused on point and this is its image now or the image of point and this whole triangle is the image of this entire triangle the triangle Wyn after the transformation but you see that every point shifted six to the right six to the right and three down this point over here six to the right would take you let's see it said it's at one and a half right now its x-coordinate is one and a half it's new x-coordinate is seven and a half so its x-coordinate increased by six and it's old y-coordinate or the original y-coordinate was six and now in the image the corresponding y coordinate is 3 so it has we have shifted it down three so we've seen that that's happened to every point here and we're done