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Absolute Value

Terms for algebra 2 absolute value unit

QuestionAnswer
Absolute Value of a Number The distance the number is from zero on a number line
Extraneous Solution A solution found when solving an absolute value equation that isn't a true solution. (Found when testing values)
Standard Form for an Absolute Value Function f(x)= a|mx+b|+c
Parent Function The simplest form of an equation, such as: y=x or y=|x|
Translation Shifts (slides) the graph vertically, horizontally or both. The size and shape of the graph stays the same.
Horizontal translation to the left y= |x+h|
Horizontal translation to the right y=|x-h|
Vertical translation up y=|x|+k
Vertical translation down y=|x|-k
Combined translation up and right y=|x-h|+k
Combined translation up and left y=|x+h|+k
Combined translation down and right y=|x-h|-k
Combined translation down and left y=|x+h|-k
Vertical Stretch of a Graph Multiplies all the y-values by the same factor (a) that is GREATER than 1 (makes the graph "skinnier")
Vertical Shrink of a Graph Multiplies all the y-values by the same factor (a) that is BETWEEN 0 and 1 (makes the graph "fatter")
Reflection of a graph The graph "flips" vertically over the x-axis because the y-values have all been multiplied by a negative value (-a)
Linear Inequality An equation in two variables (x & y) whose graph is a region of the coordinate plane (shown by shading the solution region) that is bounded by the equation of the line.
Absolute Value Inequality An equation in two variables (x & y) whose graph is a region of the coordinate plane (shown by shading the solution region) that is bounded by the equation of the line.
Created by: SHSMath