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Translation T maps the point (1, 3) to (2, 6). Which of the following rules describes the translation T?

User Charter
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2 Answers

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Final answer:

The translation rule that maps the point (1, 3) to (2, 6) is described by the function T(x, y) = (x + 1, y + 3), which represents a 1 unit rightward and 3 units upward shift.

Step-by-step explanation:

The question is asking for the rule that describes a translation T which moves a point in the coordinate plane from one location to another. In this specific case, the translation T maps the point (1, 3) to (2, 6). A translation can be described by how far the point moves along the x-axis (horizontal shift) and the y-axis (vertical shift).

To find the translation rule, we calculate the difference in the x-coordinates and the y-coordinates of the two points. For the x-coordinates: 2 - 1 = 1 and for the y-coordinates: 6 - 3 = 3. Thus, the point has been translated 1 unit to the right and 3 units up.

The rule that describes this translation is:
T(x, y) = (x + 1, y + 3).

User Jimeh
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4 votes

Answer: The first one!

Step-by-step explanation: Just did it!

User Kumod Singh
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