Warm-Up: List the types of transformations and what each one means.
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Transcript of Warm-Up: List the types of transformations and what each one means.
![Page 1: Warm-Up: List the types of transformations and what each one means.](https://reader035.fdocuments.us/reader035/viewer/2022070413/5697bfae1a28abf838c9c7b0/html5/thumbnails/1.jpg)
Warm-Up: List the types of transformations and what each one means
![Page 2: Warm-Up: List the types of transformations and what each one means.](https://reader035.fdocuments.us/reader035/viewer/2022070413/5697bfae1a28abf838c9c7b0/html5/thumbnails/2.jpg)
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.
![Page 3: Warm-Up: List the types of transformations and what each one means.](https://reader035.fdocuments.us/reader035/viewer/2022070413/5697bfae1a28abf838c9c7b0/html5/thumbnails/3.jpg)
Activity
![Page 4: Warm-Up: List the types of transformations and what each one means.](https://reader035.fdocuments.us/reader035/viewer/2022070413/5697bfae1a28abf838c9c7b0/html5/thumbnails/4.jpg)
Essential Question
How do I graph vertical transformations?
![Page 5: Warm-Up: List the types of transformations and what each one means.](https://reader035.fdocuments.us/reader035/viewer/2022070413/5697bfae1a28abf838c9c7b0/html5/thumbnails/5.jpg)
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.
![Page 6: Warm-Up: List the types of transformations and what each one means.](https://reader035.fdocuments.us/reader035/viewer/2022070413/5697bfae1a28abf838c9c7b0/html5/thumbnails/6.jpg)
Example 1
h𝐺𝑟𝑎𝑝 𝑦=𝑥2−3
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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
![Page 8: Warm-Up: List the types of transformations and what each one means.](https://reader035.fdocuments.us/reader035/viewer/2022070413/5697bfae1a28abf838c9c7b0/html5/thumbnails/8.jpg)
Example 2
Graph
![Page 9: Warm-Up: List the types of transformations and what each one means.](https://reader035.fdocuments.us/reader035/viewer/2022070413/5697bfae1a28abf838c9c7b0/html5/thumbnails/9.jpg)
![Page 10: Warm-Up: List the types of transformations and what each one means.](https://reader035.fdocuments.us/reader035/viewer/2022070413/5697bfae1a28abf838c9c7b0/html5/thumbnails/10.jpg)
Example 3
Graph
![Page 11: Warm-Up: List the types of transformations and what each one means.](https://reader035.fdocuments.us/reader035/viewer/2022070413/5697bfae1a28abf838c9c7b0/html5/thumbnails/11.jpg)
Order for vertical Transformations1. Dilations/Compressions/Reflections2. Translation
![Page 12: Warm-Up: List the types of transformations and what each one means.](https://reader035.fdocuments.us/reader035/viewer/2022070413/5697bfae1a28abf838c9c7b0/html5/thumbnails/12.jpg)
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
![Page 13: Warm-Up: List the types of transformations and what each one means.](https://reader035.fdocuments.us/reader035/viewer/2022070413/5697bfae1a28abf838c9c7b0/html5/thumbnails/13.jpg)
Classwork