Graphing Translations & Finding a Set of Coordinates

An error occurred trying to load this video.

Try refreshing the page, or contact customer support.

Coming up next: Rotating Shapes by Degrees, Center & Direction

You're on a roll. Keep up the good work!

Take Quiz Watch Next Lesson
Your next lesson will play in 10 seconds
  • 0:01 What Is a Translation?
  • 0:31 Graphing Translations
  • 1:38 Finding a Set of Coordinates
  • 2:37 Putting It Together
  • 3:18 Lesson Summary
Save Save Save

Want to watch this again later?

Log in or sign up to add this lesson to a Custom Course.

Log in or Sign up

Speed Speed

Recommended Lessons and Courses for You

Lesson Transcript
Instructor: Artem Cheprasov

Artem has a doctor of veterinary medicine degree.

In this lesson, you're going to learn how to translate figures by counting boxes, find the coordinates of points, and learn how to translate a figure more quickly using simple math.

What Is a Translation?

Have you ever translated anything? Maybe you translated something from English into Spanish or Russian. Even if you've never translated a language, you may have translated a shape. Basically, you slid an image in one direction or another.

A translation in math is a scenario where every point in a figure is moved the exact same distance and in the same exact direction: without being rotated, reflected, or resized.

Let's see how we graph translations and find their coordinates.

Graphing Translations

Look at this image (see video). It's a simple rectangle labeled ABCD. Let's find out how we can translate it as follows: (x, y) becomes (x + 7 and y - 5).

What does this mean? This means we move our rectangle +7 units on the horizontal or (x) axis. In other words, we shift it to the right 7 units. It also means we move our rectangle -5 units on the vertical or (y) axis, or simply 5 units down. By moving the rectangle point by point, as you count out the units (boxes) on the graph, it is firmly in the position you see now (see video).

Ok. Let's try another one. Let's move rectangle MATH as follows (x,y) becomes (x - 7 and y + 4).

What do we do here (see video)? Well, now we move every point -7 units on the x-axis. That means we move everything to the left 7 units on the horizontal axis. It also means we move everything +4 units on the y-axis. That means we move everything upwards on the y-axis. Now, you can see where we find the resulting rectangle as a result of this translation on your screen (see video).

Finding a Set of Coordinates

That wasn't hard, was it? This next section is really easy, too. Let's find out the coordinates of our rectangles.

Let's go back to rectangle ABCD (see video). Remember, coordinates are given by (x, y).

To unlock this lesson you must be a Member.
Create your account

Register to view this lesson

Are you a student or a teacher?

Unlock Your Education

See for yourself why 30 million people use

Become a member and start learning now.
Become a Member  Back
What teachers are saying about
Try it risk-free for 30 days

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Create an account to start this course today
Try it risk-free for 30 days!
Create an account