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Linear Equations, Linear Inequalities, and Absolute Value
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Gravity
Terms in this set (42)
y = - |x| + 1
reflected and moved up 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
y = |x - 2| + 1
moved right 2 and up 1
y = - |x + 2|
reflected and moved left 2
y = -|x| + 2
reflected and moved up 2
y = -|x| - 2
reflected and moved down 2
y = - |x| - 3
reflected and moved down 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
y = |x - 1| + 5
moved right 1 and up 5
y = - |x + 3|
reflected and moved left 3
y = -|x| + 4
reflected and moved up 4
y = |x - 6| + 8
moved right 6 and up 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
y = |x + 6| + 8
moved left 6 and up 8
y = - |x - 3|
reflected and moved right 3
y = |x + 2| - 1
moved left 2 and down 1
y = 2/3 |x + 4|
shrunk by a factor of 2/3 and moved left 4
domain
the set of first coordinates of the ordered pairs of a relation.
function
a relation where each number in the domain is paired with exactly one number in the range.
function rule
an equation that describes a function.
linear equation
an equation whose graph is a line.
linear inequality
looks like a linear equation, but with an inequality symbol.
negative correlation
one set of data values increase as the other set decreases.
no correlation
there is no relationship between data sets.
positive correlation
both sets of data values increase.
range
the set of second coordinates of the ordered pairs of a relation.
relation
a set of ordered pairs.
scatter plot
a graph with points plotted to show a possible relationship between two sets of data.
slope
a ratio that describes the tilt of a line.
slope-intercept form
y=mx+b, where m is the slope and b is the y-intercept of the line.
solution
is any value or values that make an equation or an inequality true.
line of best fit
a line drawn in a scatter plot to fit most of the dots and shows the relationship between the two sets of data
vertical-line test
is something that allows you to describe graphically whether a relation is a function.
y-intercept
the y-coordinate of the point where the line crosses the y-axis.
point-slope form
y-y1 = m(x-x1), where m is the slope and (x1,y1) is the point the line is passing through.
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 x-coordinate of the point where a line crosses the x-axis.
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