# Translation in the direction of the y-axis

- Author:
- Jing Jie

- Topic:
- Translation

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

**Activity 1**

## Observation 1

Describe the change in the graph of

*y*= sin*x*+*A*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*= sin*x*+*A*. 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*= sin*x*to*y*= sin*x*+ 3? Replace*y*by ________.**Activity 2**

## Observation 1

Describe the change in the graph of

*y*= sin*x*+*A*when the value of*A*decreases from 0 to −2.## Observation 2

Sketch the graph after this transformation.

## Observation 3

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

*y*= sin*x*. 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*= sin*x*to*y*= sin*x*− 2? Replace*y*by ________.**Collect the letters to unlock the solution:**The 1st letter of the password to the solution is

**E**