Translation in the direction of the x-axis
- Author:
- Jing Jie
- Topic:
- Translation
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 = (x + A)2 when the value of A increases from 0 to 2.
Observation 2
Sketch the graph after this transformation.
Observation 3
Let (0, 0) be a point on the curve y = x2. 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 to y = (x + 2)2?
Replace x by _________
Activity 2
Observation 1
Describe the change in the graph of y = (x + A)2 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 = x2. 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 to y = (x − 3)2?
Replace x by _________
Collect the letters to unlock the solution:
The 2nd letter of the password to the solution is U