Stretch Parallel to the y-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 = A sin (x) when the value of A increases from 1 to 3.

Observation 2

Sketch the graph after this transformation.

Observation 3

Let 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 = 3 sin (x)? Replace y by ____________
Activity 2

Observation 1

Describe the change in the graph of y = A sin (x) when the value of A decreases from 1 to .

Observation 2

Sketch the graph after this transformation.

Observation 3

Let 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)? Replace y by ____________
Collect the letters to unlock the solution: The 3rd letter of the password to the solution is L