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Level 394

Graphing Absolute Value Functions


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reflected and moved up 1
y = - |x| + 1
y = 2|x| - 1
stretched by a factor of 2 and moved down 1
y = 1/2 |x| - 2
shrunk by a factor of 1/2 and moved down 2
moved right 2 and up 1
y = |x - 2| + 1
reflected and moved left 2
y = - |x + 2|
y = -|x| + 2
reflected and moved up 2
y = -|x| - 2
reflected and moved down 2
reflected and moved down 3
y = - |x| - 3
y = 4|x| + 1
stretched by a factor of 4 and moved up 1
y = 1/3 |x| + 4
shrunk by a factor of 1/3 and moved up 4
moved right 1 and up 5
y = |x - 1| + 5
reflected and moved left 3
y = - |x + 3|
y = -|x| + 4
reflected and moved up 4
moved right 6 and up 8
y = |x - 6| + 8
y = -0.2 |x|
reflected and shrunk by a factor of 0.2 (2/10)
y = 0.5 |x| + 6
shrunk by a factor of 0.5 (1/2) and moved up 6
y = 3/2 |x + 4|
stretched by a factor of 3/2 and moved left 4
y = 5/2 |x - 7|
stretched by a factor of 5/2 and moved right 7
moved left 6 and up 8
y = |x + 6| + 8
reflected and moved right 3
y = - |x - 3|
moved left 2 and down 1
y = |x + 2| - 1
y = 2/3 |x + 4|
shrunk by a factor of 2/3 and moved left 4
Domain
The ______________________ is all the possible INPUT, X, values.
function
If you repeat an INPUT, and you always get the same OUTPUT, your data is a ______________________ .
function rule
An equation that describes a function.
Linear Equation
A polynomial equation of the first degree whose graph is a line.
linear inequality
contains a single variable on either side of the inequality symbol.
negative correlation
y tends to decrease, as x increases
no correlation
The values show no relationship.
positive correlation
y tends to increase, as x increases
Range
The difference between the greatest number and the least number in a set of data.
Relation
A Smart Art graphic type that compares connections between concepts.
Scatter plot
is a graph used to determine whether there is a relationship between paired data. Scatter plots can show trends in data.
slope
(y₂-y₁)/(x₂-x₁)
Slope-Intercept Form
a linear equation written in the form y = mx + b, where m represents slope and b represents the y-intercept
Solution
The value or values that make an equation or inequality true.
line of best fit
The line that most closely follows a trend in data is called the best-fitting line.
vertical-line test
The test that visually determines whether or not a relation is a function or not.
y-intercept
the point where the line crosses the y-axis
point-slope form
Given a point (x₁, y₁) and slope m
standard form of a linear equation
Ax + By = C, where A,B, and C are real numbers, and A and B are not both zero.
x-intercept
the point where the line crosses the x-axis