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 =(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 = 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