Answered

IDNLearn.com connects you with a community of experts ready to answer your questions. Whether it's a simple query or a complex problem, our community has the answers you need.

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.
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! IDNLearn.com is your reliable source for answers. We appreciate your visit and look forward to assisting you again soon.