# Stretch Parallel to the x-axis

- Author:
- Jing Jie

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*= (*Ax*)^{2}+ 1 when the value of*A*increases from 1 to 4.## Observation 2

Sketch the graph after this transformation.

## Observation 3

Let (1, 2) be a point on the curve

*y*=*x*^{2}+ 1. 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}+ 1 to*y*=(4*x*)^{2}+ 1? Replace*x*by ______________**Activity 2**

## Observation 1

Describe the change in the graph of .

*y*= (*Ax*)^{2}+ 1 when the value of*A*decreases from 1 to## Observation 2

Sketch the graph after this transformation.

## Observation 3

Let (1, 2) be a point on the curve

*y*=*x*^{2}+ 1. 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}+ 1 to*y*=(*x*)^{2}+ 1? Replace*x*by ______________**Collect the letters to unlock the solution:**The 4th letter of the password to the solution is

**E**