{
 "source": "https://peabody.kids/flashcards/math-coordinate-graphing",
 "id": "math-coordinate-graphing",
 "title": "Coordinate Plane and Graphing",
 "category": "math",
 "subject": "Math",
 "levels": [
  "3-5",
  "6-8",
  "9-12"
 ],
 "description": "Parts of the coordinate plane, plotting points, transformations and reading graphs of functions.",
 "tags": [
  "coordinate plane",
  "graphing",
  "transformations"
 ],
 "frontLabel": "Question",
 "backLabel": "Answer",
 "cards": [
  [
   "Horizontal axis",
   "The x-axis"
  ],
  [
   "Vertical axis",
   "The y-axis"
  ],
  [
   "Origin",
   "The point (0, 0)"
  ],
  [
   "Ordered pair (x, y)",
   "First number is across, second is up or down"
  ],
  [
   "Quadrant I",
   "x positive, y positive (top right)"
  ],
  [
   "Quadrant II",
   "x negative, y positive (top left)"
  ],
  [
   "Quadrant III",
   "x negative, y negative (bottom left)"
  ],
  [
   "Quadrant IV",
   "x positive, y negative (bottom right)"
  ],
  [
   "Where is (0, 5)?",
   "On the y-axis, 5 units above the origin"
  ],
  [
   "Where is (−3, 0)?",
   "On the x-axis, 3 units left of the origin"
  ],
  [
   "Which quadrant is (3, −2)?",
   "IV"
  ],
  [
   "Which quadrant is (−4, −1)?",
   "III"
  ],
  [
   "Which quadrant is (−2, 6)?",
   "II"
  ],
  [
   "Reflect (3, 4) over the x-axis",
   "(3, −4)"
  ],
  [
   "Reflect (3, 4) over the y-axis",
   "(−3, 4)"
  ],
  [
   "Reflect (3, 4) through the origin",
   "(−3, −4)"
  ],
  [
   "Reflect (a, b) over the line y = x",
   "(b, a)"
  ],
  [
   "Translate (2, 1) by 3 right and 2 up",
   "(5, 3)"
  ],
  [
   "Rotate (a, b) 90° counterclockwise about the origin",
   "(−b, a)"
  ],
  [
   "Rotate (a, b) 180° about the origin",
   "(−a, −b)"
  ],
  [
   "Dilate (2, 3) by scale factor 2 about the origin",
   "(4, 6)"
  ],
  [
   "Distance from (0, 0) to (3, 4)",
   "5"
  ],
  [
   "Distance from (1, 2) to (4, 6)",
   "5"
  ],
  [
   "Midpoint of (2, 4) and (6, 8)",
   "(4, 6)"
  ],
  [
   "Midpoint of (−2, 3) and (4, −1)",
   "(1, 1)"
  ],
  [
   "Slope through (0, 0) and (2, 4)",
   "2"
  ],
  [
   "Slope through (1, 5) and (3, 1)",
   "−2"
  ],
  [
   "Slope of y = 3x + 2",
   "3"
  ],
  [
   "Y-intercept of y = 3x + 2",
   "2"
  ],
  [
   "X-intercept of y = 2x − 6",
   "3"
  ],
  [
   "Graph of y = 5",
   "A horizontal line"
  ],
  [
   "Graph of x = −2",
   "A vertical line"
  ],
  [
   "Graph of y = x",
   "A line through the origin with slope 1"
  ],
  [
   "Graph of y = x²",
   "A parabola opening up with vertex at the origin"
  ],
  [
   "Graph of y = −x²",
   "A parabola opening down"
  ],
  [
   "Graph of y = |x|",
   "A V shape with vertex at the origin"
  ],
  [
   "Graph of y = 1/x",
   "A hyperbola with branches in quadrants I and III"
  ],
  [
   "Graph of y = √x",
   "Half of a sideways parabola starting at the origin"
  ],
  [
   "Graph of y = 2ˣ",
   "A curve that rises quickly and passes through (0, 1)"
  ],
  [
   "Graph of x² + y² = 9",
   "A circle with center (0, 0) and radius 3"
  ],
  [
   "Shift y = f(x) up 3",
   "y = f(x) + 3"
  ],
  [
   "Shift y = f(x) right 2",
   "y = f(x − 2)"
  ],
  [
   "Reflect y = f(x) over the x-axis",
   "y = −f(x)"
  ],
  [
   "Reflect y = f(x) over the y-axis",
   "y = f(−x)"
  ],
  [
   "Stretch y = f(x) vertically by 3",
   "y = 3f(x)"
  ],
  [
   "Vertex of y = (x − 2)² + 5",
   "(2, 5)"
  ],
  [
   "Axis of symmetry of y = (x − 2)² + 5",
   "x = 2"
  ],
  [
   "Parallel to y = 2x + 1",
   "Any line with slope 2"
  ],
  [
   "Perpendicular to y = 2x + 1",
   "Any line with slope −1/2"
  ],
  [
   "Rise over run",
   "Slope"
  ],
  [
   "Positive slope",
   "The line goes up from left to right"
  ],
  [
   "Negative slope",
   "The line goes down from left to right"
  ],
  [
   "Where lines of a system meet",
   "The solution of the system"
  ],
  [
   "Line graph",
   "Plots points joined by lines to show change over time"
  ],
  [
   "Scale of a graph",
   "The value each grid mark stands for"
  ],
  [
   "Interval of an axis",
   "The step between marked numbers"
  ],
  [
   "Latitude and longitude",
   "A coordinate system for locations on Earth"
  ],
  [
   "Battleship grid",
   "A game that uses coordinates like B7"
  ],
  [
   "Plotting order",
   "Start at the origin, move across x, then up or down y"
  ],
  [
   "René Descartes",
   "Introduced the Cartesian coordinate system"
  ],
  [
   "Polar coordinates (r, θ)",
   "Distance from the origin and angle from the positive x-axis"
  ],
  [
   "3D coordinates",
   "Add a z-axis: (x, y, z)"
  ],
  [
   "Number of axes in a 3D grid",
   "3"
  ]
 ]
}