Reflection in the axes

Author:
Jing Jie
Think carefully, how the graph will look like when it is reflected in the x-axis. Think carefully, how the graph will look like when it is reflected in the y-axis.
Reflection in the x-axis

Observation 1

Write down the equations of the new curve after going through this transformation.

Observation 2

Sketch the graph after this transformation.

Observation 3

Let (4, 2) be a point on the curve . 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 to ? Replace y by ___________
Reflection in the y-axis

Observation 1

Write down the equations of the new curve after going through this transformation.

Observation 2

Sketch the graph after this transformation.

Observation 3

Let (4, 2) be a point on the curve . 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 to ? Replace x by ___________
Collect the letters to unlock the solution: The 5th (Last) letter of the password to the solution is R