Question
Write the coordinates of the point Y after a dilation with a scale factor of 4, centered at the origin. (1 point) ( , ) Question 2 Part B What are the coordinates of the point W after a dilation with a scale factor of 4, centered at the origin? (1 point) Responses (−8,8) open paren negative 8 comma 8 close paren (−8,−8) open paren negative 8 comma negative 8 close paren (8,8) open paren 8 comma 8 close paren (8,−8) open paren 8 comma negative 8 close paren Skip to navigation
Answers
GPT-4o mini
To perform a dilation with a scale factor of 4 centered at the origin, you multiply the coordinates of the original point by the scale factor.
1. **For point Y**, if we denote the original coordinates of point Y as (x, y), the new coordinates after dilation would be:
\[
(4x, 4y)
\]
2. **For point W**, the same process applies. If we denote the original coordinates of point W as (x, y), the new coordinates would be:
\[
(4x, 4y)
\]
You need to provide the original coordinates of points Y and W to find their new coordinates after the dilation. If you have the coordinates, you can simply perform the multiplication to find the dilated coordinates.
For example:
- If Y is at (2, 3), after dilation it would be (4*2, 4*3) = (8, 12).
- If W is at (−2, −2), after dilation it would be (4*(-2), 4*(-2)) = (−8, −8).
Please provide the original coordinates of points Y and W if you would like to compute their new positions after dilation! If the original coordinates are given, you can select the correct response from the options you listed.
1. **For point Y**, if we denote the original coordinates of point Y as (x, y), the new coordinates after dilation would be:
\[
(4x, 4y)
\]
2. **For point W**, the same process applies. If we denote the original coordinates of point W as (x, y), the new coordinates would be:
\[
(4x, 4y)
\]
You need to provide the original coordinates of points Y and W to find their new coordinates after the dilation. If you have the coordinates, you can simply perform the multiplication to find the dilated coordinates.
For example:
- If Y is at (2, 3), after dilation it would be (4*2, 4*3) = (8, 12).
- If W is at (−2, −2), after dilation it would be (4*(-2), 4*(-2)) = (−8, −8).
Please provide the original coordinates of points Y and W if you would like to compute their new positions after dilation! If the original coordinates are given, you can select the correct response from the options you listed.