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Question:

Write a function to represent the point [tex]\((x, y)\)[/tex] being translated 3 units to the right and 2 units down. Type the correct answer in the box.

[tex]\[ T(x, y) = \][/tex]

Sagot :

GinnyAnsweridn
To solve the problem of translating a point [tex]\((x, y)\)[/tex] by 3 units to the right and 2 units down, we need to understand the effect of such translations:

1. Translating 3 units to the right:
- Moving a point to the right on the Cartesian plane increases its x-coordinate.
- So, we add 3 to the x-coordinate.

2. Translating 2 units down:
- Moving a point down on the Cartesian plane decreases its y-coordinate.
- So, we subtract 2 from the y-coordinate.

Given the original point [tex]\((x, y)\)[/tex], applying these translations can be represented as:
- The new x-coordinate will be [tex]\(x + 3\)[/tex]
- The new y-coordinate will be [tex]\(y - 2\)[/tex]

Therefore, the translated point [tex]\(T(x, y)\)[/tex] can be written as:
[tex]\[ T(x, y) = (x + 3, y - 2) \][/tex]

So, if you write the function representing the translation, the output should be:
[tex]\[ T(x, y) = (x+3, y-2) \][/tex]

This is the function that translates the point [tex]\((x, y)\)[/tex] by 3 units to the right and 2 units down.
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