Graphing Techniques (Transformation of Graphs)

Jing Jie, May 4, 2015

Table of Contents

  1. Translation of Graphs
    1. Translation in the direction of the y-axis
    2. Translation in the direction of the x-axis
  2. Scaling of Graphs
    1. Stretch Parallel to the y-axis
    2. Stretch Parallel to the x-axis
  3. Reflection of Graphs
    1. Reflection in the axes

1.

Translation of Graphs

  • 1. Translation in the direction of the y-axis
  • 2. Translation in the direction of the x-axis

1.1.

Translation in the direction of the y-axis

Move the slider to change the value of A.[br][br]Observe how the graph changes when the value of A changes.
– Jing Jie

1.2.

–

2.

Scaling of Graphs

  • 1. Stretch Parallel to the y-axis
  • 2. Stretch Parallel to the x-axis

2.1.

Stretch Parallel to the y-axis

Move the slider to change the value of A.[br][br]Observe how the graph changes as the value of A changes.
– Jing Jie

2.2.

–

3.

Reflection of Graphs

  • 1. Reflection in the axes

3.1.

Reflection in the axes

Think carefully, how the graph will look like when it is reflected in the x-axis.[br][br]Think carefully, how the graph will look like when it is reflected in the y-axis.
– Jing Jie

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