Example translating points
Khan Academy・1 minute read
The video explains how to perform point translations on a coordinate plane, demonstrating the algebraic method of reducing the x-coordinate by a certain value and increasing the y-coordinate by another value. This method is applied to a point with coordinates (3, -4), resulting in new coordinates of (-2, -1) after the translation.
Insights
- The video demonstrates the algebraic method of describing point translations on a coordinate plane, showcasing a systematic approach where x-coordinates are decreased and y-coordinates are increased by specified units.
- Through the example of translating a point with coordinates (3, -4) by five units to the left and three units up, the algebraic formula (-5, +3) effectively transforms the original point to (-2, -1), illustrating a clear connection between the algebraic rules and the resulting coordinates.
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Recent questions
How can point translations be described?
Point translations can be described algebraically.
What is the process of translating a point?
Translating a point involves adjusting its coordinates.
How are new coordinates calculated after translation?
New coordinates are calculated using algebraic formulas.
What is the significance of point translations?
Point translations help in moving points accurately.
How does algebra connect and transform coordinates?
Algebraic formulas connect and transform coordinates.
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Summary
00:00
"Algebraic Point Translations on Coordinate Plane"
- The video discusses different ways to describe and execute point translations on a coordinate plane, using an example of translating a point by five units to the left and three units up.
- One method involves describing the translation algebraically, where the x-coordinate is reduced by five units and the y-coordinate is increased by three units.
- By applying this algebraic method to a point with coordinates (3, -4), the new coordinates after the translation are calculated as (-2, -1), showcasing how the algebraic formula connects and transforms the original coordinates.
