Absolute Value Graphs and Equations. Steps to find the equation of absolute value Find the vertex Change the ‘x’ value Put into equation y = |x | x value.

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Presentation transcript:

Absolute Value Graphs and Equations

Steps to find the equation of absolute value Find the vertex Change the ‘x’ value Put into equation y = |x | x value of vertex with sign change y value of vertex

Steps to graph absolute value Find the vertex Change the ‘x’ value of the vertex Does it open up or down? Does it stretch or shrink? Whole number in front = stretch Fraction in front = shrink

Examples Find the equation y = |x| + 2

Examples Find the equation y = -|x +2| + 3

Examples Graph y = |x| + 1

Examples Graph y = |x -3| -2

SOLVING ABSOLUTE VALUE

To Solve an Absolute Equation 1.You must solve two parts 2.Part 1: Replace absolute value bars with parenthesis and solve. 3.Part 2: Replace absolute value bars with parenthesis, distribute a negative, and solve. 4.Always check for extraneous solutions

SOLVE |8 – 4x| = 12 8 – 4x = 12-8 – 4x = 12 x = -1ORx = 5

|x + 2| = 3x x + 2 = 3x -x + 2 = 3x x = 1

|2x – 5| = 9 2x – 5 = 9 -2x – 5 = 9 x = 7OR x = -2

SOLVE |3x + 3| = 6x 3x + 3 = 6x -3x + 3 = 6x x = 1