1. Warm Up – Monday – 12/1 Desribe each transformation in words,
and give a coordinate rule.

2. Types of Functions Linear Absolute Value Quadratic 𝑦=𝑥 𝑦= 𝑥 𝑦= 𝑥 2
𝑦=𝑥 𝑦= 𝑥 𝑦= 𝑥 2
Square Root Function
𝑦= 𝑥

3. Vertical Translations
When I simply add a number to a function, that moves the
function up or down by that number.

4. Horizontal Translations
When I simply add a number directly to x, that moves the
function left or right by that number.

5. Positives/Negatives
Vertical Translations Up – Positive Number Down – Negative Number Horizontal Translations are backwards! Left – Positive Number Right – Negative Number

8. Vertical Stretch/Compression
When you multiply the entire function by a value, “a”
If a>1, vertical stretch by a.
If a<1, vertical compression by a.

9. Horizontal Stretch Compression
When you multiply on the inside of the parantheses by a value “b”.
If b>1, horizontal compression by b.
If b<1, horizontal stretch by b.

10. Vertical Reflection – Over X-axis

11. Horizontal reflection – Over y-axis