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Warm Up

Warm Up. Reflect the following image across the line. Motion in the Coordinate Plane. Transformations. Graphing Ordered Pairs. Now Plot P(5, 6). Horizontal/Vertical Translations.

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Warm Up

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  1. Warm Up Reflect the following image across the line.

  2. Motion in the Coordinate Plane Transformations

  3. Graphing Ordered Pairs

  4. Now Plot P(5, 6)

  5. Horizontal/Vertical Translations • To translate a figure horizontally on the coordinate plane, add or subtract a number to the x-coordinates leaving the y-coordinates alone. H(x, y) = (x + h, y) • To translate a figure vertically on the coordinate plane, add or subtract a number to the y-coordinates leaving the x-coordinates alone. V(x, y) = (x, y + h)

  6. Example: Horizontal Translation

  7. Example: Vertical Translation

  8. Reflection Across the x- or y-axis • To reflect a figure across the x-axis, multiply the y-coordinate by -1, leaving the x-coordinate unchanged. M(x, y) = (x, -y) • To reflect a figure across the y-axis, multiply the x-coordinate by -1, leaving the y-coordinate unchanged. N(x, y) = (-x, y)

  9. Example: Reflection across the x-axis

  10. Example: Reflection across the y-axis

  11. 180˚ Rotation About the Origin • To rotate a figure 180˚ about the origin, multiply the x and y coordinates by -1. R(x, y) = (-x, -y)

  12. Example: 180˚ Rotation

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