This sheet is about a type of transformation. You will see the method to translate a point or figure according to the given conditions

### What is the “Translations worksheet”?

This worksheet is designed for students to learn the method of translation. Using the preimage, you will see definitions and rules to follow to form a new image. You will see examples of moving a point or an image from one place to another by using given conditions

Then, use the worksheet’s practice questions to put your newly learned principles into practice.

The worksheet concludes with a reflection section encouraging students to ponder and develop their own questions.

Finally, it will improve students’ thinking processes.

How will the “Translations worksheet” help you?

This worksheet will help you in showing the method of shifting a point or a figure in four different directions. You will learn to move up, down, right, and left without changing their appearance.

### Conclusion

By learning the concept of translations, you will become able to move or shift an object without rotating, reflecting, or changing the size of the object.

**Translations worksheet**

**Translation**

A transformation that moves each point in a figure the same distance in the same direction.

**Rules **

**Example of Translations**

**Point translation**

What are the new coordinates when the translations are (x,y) to ((x+3),(y-4)) applied to the point (5,6)?

Put 5 in place of x to find a horizontal translation

5+3 = 8

Put 6 in place of y to find vertical translation

6-4 = 2

The coordinates of translated point are (8,2)

**Graph translation**

A shape is formed by using points (9,6),(2,3)(4,7).Plot a new image by using the translation (x+3,y-7)

Putting x coordinates in place of x and y coordinates in place of y in the translated ordered pair to make new image.

Labelling new points by using A prime,B prime and C prime

**Translations worksheet**

**Exercise**

- What are the new coordinates when the translations are (x,y) to ((x+3),(y-4)) applied to the point (9,-7)?
- If a shape is shifted 7 units right and 8 units up, then what will be the coordinates?
- If a function moves 3 units left and 7 units down then what will be the coordinates?
- The graph below depicts a function f. (x). Graph the translated graph of f(x -4) +3 using this.

- Move the function x^3 by 5 units.

**Create your own!**

Create your own practice question that involves tranlsation concept. Show your solution to the problem

**Reflection:**

What are your opinions on the Translations worksheet? Was there any problem you faced during the procedure?

**Method Creation**

Do you have any other method?

**Answers to practice questions**

- What are the new coordinates when the translations are (x,y) to ((x+3),(y-4)) applied to the point (9,-7)?

(12,-11)

- If a shape is shifted 7 units right and 8 units up, then what will be the coordinates?

(x+7,y+8)

- If a function moves 3 units left and 7 units down than what will be the coordinates?

f(x+3)-7

- The graph below depicts a function f(x). Graph the translated graph of f(x -4) +3 using this.

- Move the function x^3 to the left by 5 units.

You can download this worksheet here.