Algebra 2 09/21-22 EQ: What is a parent function Algebra 2 09/21-22 EQ: What is a parent function? How do I graph absolute value function and inequalities with transformations? HW: Worksheet due on Thursday Warm up: See board

Graphing Absolute Value Use a table to graph y = |x| x y -2 2 -1 1 desmos.com

Graphing Absolute Value Inequality < > dotted line ≤ ≥ solid line ≤ < shade below the line ≥ > shade above the line Examples www.desmos.com

Graphing with Reflections and Translations How would you graph y = -|x +4| - 5? Always start with a parent function. y = |x| Parent function - In mathematics, a parent function is the simplest function of a family of functions that preserves the definition (or shape) of the entire family.

What happens when… y = - |x| y = |- x| y = | x + h| y = | x – h| y = |x| + k y = |x| - k Summarize your findings

y = -|x +4| - 5 What will each part do to the graph? - +4 -5

Create a table y = -|x +4| - 5 y = - |x +4| - 5 y = |x| y = |x +4| -2 2 -1 1