Section: 5.3
Date:
Objective
Graphing Absolute Value Functions
Example
I can graph absolute value equations by using the general form of an absolute value
function.
 The general form of an absolute value function is:
𝑦 = 𝑎|𝑥 − ℎ| + 𝑘
 Each value changes the look of the graph.
o 𝑎 changes the slope of the lines. +𝑎 opens the graph up, −𝑎 opens the
graph down.
o ℎ moves the graph left or right. −ℎ moves it right (positive), +ℎ moves it
left (negative).
o 𝑘 moves the graph up or down. +𝑘 moves it up (positive), −𝑘 moves it
down (negative).
o The point (ℎ, 𝑘) is the vertex of the graph.
Graph the absolute value equation. 𝑦 = 2|𝑥 − 2| − 3
Practice
Graph the absolute value equation.
Graphing
Abs. Value
Functions
𝑦 = −1|𝑥 + 4| + 2
Practice
Graph the absolute value equation.
𝑦 = −2|𝑥 − 1| + 1