# Translation in the direction of the x-axis

- Author:
- Jing Jie

- Topic:
- Translation

Move the slider to change the value of A.
Observe how the graph changes as the value of A changes.

**Activity 1**

## Observation 1

Describe the change in the graph of

*y*= (*x*+*A*)^{2}when the value of*A*increases from 0 to 2.## Observation 2

Sketch the graph after this transformation.

## Observation 3

Let (0, 0) be a point on the curve

*y*=*x*^{2}. Observe and write down the new coordinates of this point after going through this transformation. Label this point on the transformed graph that you have drawn in Observation 2.## Observation 4

Which value is changed?

## Observation 5

What is the replacement of variable involved in transforming the graph of

*y*=*x*^{2}to*y*= (x + 2)^{2}? Replace*x*by _________**Activity 2**

## Observation 1

Describe the change in the graph of

*y*= (*x*+*A*)^{2}when the value of*A*increases from 0 to −3.## Observation 2

Sketch the graph after this transformation.

## Observation 3

Let (0, 0) be a point on the curve

*y*=*x*^{2}. Observe and write down the new coordinates of this point after going through this transformation. Label this point on the transformed graph that you have drawn in Observation 2.## Observation 4

Which value is changed?

## Observation 5

What is the replacement of variable involved in transforming the graph of

*y*=*x*^{2}to*y*= (x − 3)^{2}? Replace*x*by _________**Collect the letters to unlock the solution:**The 2nd letter of the password to the solution is

**U**