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

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

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

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

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

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.

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.

Vertical Reflection – Over X-axis

Horizontal reflection – Over y-axis