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 = x2 + 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 = x2 + 1 to y =(4x)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 = x2 + 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 = x2 + 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