Warm-Up: List the types of transformations and what each one means

Vocabulary

Transformations- Modifications in the size, position or direction of a graph or object.

Translation- A shift in position

Dilation/Compression- Shrinking or expanding the graph

Reflection- Reflecting an object across a line like a mirror image.

Activity

Essential Question

How do I graph vertical transformations?

Vertical Translation

gives a vertical translation of the graph The translation is k units up for k>0 and |k| units down for k<0.

Example 1

h𝐺𝑟𝑎𝑝 𝑦=𝑥2−3

Vertical Stretch/Compression gives a vertical stretch or vertical

compression If a>1, the graph is stretched vertically

by a factor of a If 0<a<1, the graph is compressed

vertically by a factor of a

Example 2

Graph

Example 3

Graph

Order for vertical Transformations1. Dilations/Compressions/Reflections2. Translation

Example 4: Write the equation and graph

Graph a cubic function that has a translation down 2 and a dilation of a factor of 3

Classwork