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Coordinate Plane and Graphing

Parts of the coordinate plane, plotting points, transformations and reading graphs of functions.

63 cardsGrades 3–5, Grades 6–8, Grades 9–12#coordinate plane#graphing#transformations

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63 cards
  • Horizontal axisQuestion
    The x-axis
  • Vertical axisQuestion
    The y-axis
  • OriginQuestion
    The point (0, 0)
  • Ordered pair (x, y)Question
    First number is across, second is up or down
  • Quadrant IQuestion
    x positive, y positive (top right)
  • Quadrant IIQuestion
    x negative, y positive (top left)
  • Quadrant IIIQuestion
    x negative, y negative (bottom left)
  • Quadrant IVQuestion
    x positive, y negative (bottom right)
  • Where is (0, 5)?Question
    On the y-axis, 5 units above the origin
  • Where is (−3, 0)?Question
    On the x-axis, 3 units left of the origin
  • Which quadrant is (3, −2)?Question
    IV
  • Which quadrant is (−4, −1)?Question
    III
  • Which quadrant is (−2, 6)?Question
    II
  • Reflect (3, 4) over the x-axisQuestion
    (3, −4)
  • Reflect (3, 4) over the y-axisQuestion
    (−3, 4)
  • Reflect (3, 4) through the originQuestion
    (−3, −4)
  • Reflect (a, b) over the line y = xQuestion
    (b, a)
  • Translate (2, 1) by 3 right and 2 upQuestion
    (5, 3)
  • Rotate (a, b) 90° counterclockwise about the originQuestion
    (−b, a)
  • Rotate (a, b) 180° about the originQuestion
    (−a, −b)
  • Dilate (2, 3) by scale factor 2 about the originQuestion
    (4, 6)
  • Distance from (0, 0) to (3, 4)Question
    5
  • Distance from (1, 2) to (4, 6)Question
    5
  • Midpoint of (2, 4) and (6, 8)Question
    (4, 6)
  • Midpoint of (−2, 3) and (4, −1)Question
    (1, 1)
  • Slope through (0, 0) and (2, 4)Question
    2
  • Slope through (1, 5) and (3, 1)Question
    −2
  • Slope of y = 3x + 2Question
    3
  • Y-intercept of y = 3x + 2Question
    2
  • X-intercept of y = 2x − 6Question
    3
  • Graph of y = 5Question
    A horizontal line
  • Graph of x = −2Question
    A vertical line
  • Graph of y = xQuestion
    A line through the origin with slope 1
  • Graph of y = x²Question
    A parabola opening up with vertex at the origin
  • Graph of y = −x²Question
    A parabola opening down
  • Graph of y = |x|Question
    A V shape with vertex at the origin
  • Graph of y = 1/xQuestion
    A hyperbola with branches in quadrants I and III
  • Graph of y = √xQuestion
    Half of a sideways parabola starting at the origin
  • Graph of y = 2ˣQuestion
    A curve that rises quickly and passes through (0, 1)
  • Graph of x² + y² = 9Question
    A circle with center (0, 0) and radius 3
  • Shift y = f(x) up 3Question
    y = f(x) + 3
  • Shift y = f(x) right 2Question
    y = f(x − 2)
  • Reflect y = f(x) over the x-axisQuestion
    y = −f(x)
  • Reflect y = f(x) over the y-axisQuestion
    y = f(−x)
  • Stretch y = f(x) vertically by 3Question
    y = 3f(x)
  • Vertex of y = (x − 2)² + 5Question
    (2, 5)
  • Axis of symmetry of y = (x − 2)² + 5Question
    x = 2
  • Parallel to y = 2x + 1Question
    Any line with slope 2
  • Perpendicular to y = 2x + 1Question
    Any line with slope −1/2
  • Rise over runQuestion
    Slope
  • Positive slopeQuestion
    The line goes up from left to right
  • Negative slopeQuestion
    The line goes down from left to right
  • Where lines of a system meetQuestion
    The solution of the system
  • Line graphQuestion
    Plots points joined by lines to show change over time
  • Scale of a graphQuestion
    The value each grid mark stands for
  • Interval of an axisQuestion
    The step between marked numbers
  • Latitude and longitudeQuestion
    A coordinate system for locations on Earth
  • Battleship gridQuestion
    A game that uses coordinates like B7
  • Plotting orderQuestion
    Start at the origin, move across x, then up or down y
  • René DescartesQuestion
    Introduced the Cartesian coordinate system
  • Polar coordinates (r, θ)Question
    Distance from the origin and angle from the positive x-axis
  • 3D coordinatesQuestion
    Add a z-axis: (x, y, z)
  • Number of axes in a 3D gridQuestion
    3

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