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Horizontal axis	The x-axis		math-coordinate-graphing
Vertical axis	The y-axis		math-coordinate-graphing
Origin	The point (0, 0)		math-coordinate-graphing
Ordered pair (x, y)	First number is across, second is up or down		math-coordinate-graphing
Quadrant I	x positive, y positive (top right)		math-coordinate-graphing
Quadrant II	x negative, y positive (top left)		math-coordinate-graphing
Quadrant III	x negative, y negative (bottom left)		math-coordinate-graphing
Quadrant IV	x positive, y negative (bottom right)		math-coordinate-graphing
Where is (0, 5)?	On the y-axis, 5 units above the origin		math-coordinate-graphing
Where is (−3, 0)?	On the x-axis, 3 units left of the origin		math-coordinate-graphing
Which quadrant is (3, −2)?	IV		math-coordinate-graphing
Which quadrant is (−4, −1)?	III		math-coordinate-graphing
Which quadrant is (−2, 6)?	II		math-coordinate-graphing
Reflect (3, 4) over the x-axis	(3, −4)		math-coordinate-graphing
Reflect (3, 4) over the y-axis	(−3, 4)		math-coordinate-graphing
Reflect (3, 4) through the origin	(−3, −4)		math-coordinate-graphing
Reflect (a, b) over the line y = x	(b, a)		math-coordinate-graphing
Translate (2, 1) by 3 right and 2 up	(5, 3)		math-coordinate-graphing
Rotate (a, b) 90° counterclockwise about the origin	(−b, a)		math-coordinate-graphing
Rotate (a, b) 180° about the origin	(−a, −b)		math-coordinate-graphing
Dilate (2, 3) by scale factor 2 about the origin	(4, 6)		math-coordinate-graphing
Distance from (0, 0) to (3, 4)	5		math-coordinate-graphing
Distance from (1, 2) to (4, 6)	5		math-coordinate-graphing
Midpoint of (2, 4) and (6, 8)	(4, 6)		math-coordinate-graphing
Midpoint of (−2, 3) and (4, −1)	(1, 1)		math-coordinate-graphing
Slope through (0, 0) and (2, 4)	2		math-coordinate-graphing
Slope through (1, 5) and (3, 1)	−2		math-coordinate-graphing
Slope of y = 3x + 2	3		math-coordinate-graphing
Y-intercept of y = 3x + 2	2		math-coordinate-graphing
X-intercept of y = 2x − 6	3		math-coordinate-graphing
Graph of y = 5	A horizontal line		math-coordinate-graphing
Graph of x = −2	A vertical line		math-coordinate-graphing
Graph of y = x	A line through the origin with slope 1		math-coordinate-graphing
Graph of y = x²	A parabola opening up with vertex at the origin		math-coordinate-graphing
Graph of y = −x²	A parabola opening down		math-coordinate-graphing
Graph of y = |x|	A V shape with vertex at the origin		math-coordinate-graphing
Graph of y = 1/x	A hyperbola with branches in quadrants I and III		math-coordinate-graphing
Graph of y = √x	Half of a sideways parabola starting at the origin		math-coordinate-graphing
Graph of y = 2ˣ	A curve that rises quickly and passes through (0, 1)		math-coordinate-graphing
Graph of x² + y² = 9	A circle with center (0, 0) and radius 3		math-coordinate-graphing
Shift y = f(x) up 3	y = f(x) + 3		math-coordinate-graphing
Shift y = f(x) right 2	y = f(x − 2)		math-coordinate-graphing
Reflect y = f(x) over the x-axis	y = −f(x)		math-coordinate-graphing
Reflect y = f(x) over the y-axis	y = f(−x)		math-coordinate-graphing
Stretch y = f(x) vertically by 3	y = 3f(x)		math-coordinate-graphing
Vertex of y = (x − 2)² + 5	(2, 5)		math-coordinate-graphing
Axis of symmetry of y = (x − 2)² + 5	x = 2		math-coordinate-graphing
Parallel to y = 2x + 1	Any line with slope 2		math-coordinate-graphing
Perpendicular to y = 2x + 1	Any line with slope −1/2		math-coordinate-graphing
Rise over run	Slope		math-coordinate-graphing
Positive slope	The line goes up from left to right		math-coordinate-graphing
Negative slope	The line goes down from left to right		math-coordinate-graphing
Where lines of a system meet	The solution of the system		math-coordinate-graphing
Line graph	Plots points joined by lines to show change over time		math-coordinate-graphing
Scale of a graph	The value each grid mark stands for		math-coordinate-graphing
Interval of an axis	The step between marked numbers		math-coordinate-graphing
Latitude and longitude	A coordinate system for locations on Earth		math-coordinate-graphing
Battleship grid	A game that uses coordinates like B7		math-coordinate-graphing
Plotting order	Start at the origin, move across x, then up or down y		math-coordinate-graphing
René Descartes	Introduced the Cartesian coordinate system		math-coordinate-graphing
Polar coordinates (r, θ)	Distance from the origin and angle from the positive x-axis		math-coordinate-graphing
3D coordinates	Add a z-axis: (x, y, z)		math-coordinate-graphing
Number of axes in a 3D grid	3		math-coordinate-graphing