Terms for algebra 2 absolute value unit
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
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| Absolute Value of a Number | The distance the number is from zero on a number line
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| Extraneous Solution | A solution found when solving an absolute value equation that isn't a true solution. (Found when testing values)
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| Standard Form for an Absolute Value Function | f(x)= a|mx+b|+c
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| Parent Function | The simplest form of an equation, such as:
y=x or y=|x|
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| Translation | Shifts (slides) the graph vertically, horizontally or both. The size and shape of the graph stays the same.
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| Horizontal translation to the left | y= |x+h|
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| Horizontal translation to the right | y=|x-h|
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| Vertical translation up | y=|x|+k
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| Vertical translation down | y=|x|-k
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| Combined translation up and right | y=|x-h|+k
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| Combined translation up and left | y=|x+h|+k
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| Combined translation down and right | y=|x-h|-k
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| Combined translation down and left | y=|x+h|-k
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| Vertical Stretch of a Graph | Multiplies all the y-values by the same factor (a) that is GREATER than 1 (makes the graph "skinnier")
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| 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")
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| 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)
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| 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.
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| 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.
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Created by:
SHSMath
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