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How Do You Use a Graph to Translate a Figure Horizontally?

Use a graph to translate a figure 4 units to the right.

Summary

  1. "Translate" just means moving, or sliding, the figure somewhere else in the coordinate plane
  2. The image is the figure we get after we translate
  3. Take the upper right point, (-1,4), and move it to the right 4 units
  4. We can do that same thing with each other point on the figure
  5. Connecting our new points will give us the image of our figure

Notes

    1. We already have it drawn for you, so we can go ahead and start translating
    2. "Translating" just means sliding the figure to a new location in the coordinate plane, without changing its size or shape
    1. We call this a horizontal translation
    2. We're translating the figure horizontally 4 units to the right
    1. We're going to take each individual point and move them to the right
    1. So let's move this point in the upper right to the right 4 units
    1. Now that we've done it to one point in the figure, let's move the other three points to the right
    2. A vertex is just one of the corners of the figure, where two sides come together
    3. We already have those points marked, so they'll be easy to use
    1. Connecting the dots will give us our new figure
    2. This new figure that's created after we translate is called the image
    3. Notice it's the same size and shape as the original figure, just moved over 4 units