X = 2,-1. W = -2,-3. Y= 1,2. Z 2,-2.

Question

Write the coordinates of the point Y after a dilation with a scale factor of 4, centered at the origin.
Question 2 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 8 comma 8 close paren (−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 negative 8 close paren Skip to navigation

Answer 1

To perform a dilation centered at the origin with a scale factor of 4, you multiply each coordinate of the point by the scale factor.

For point Y (1, 2):

\[ Y' = (1 \cdot 4, 2 \cdot 4) = (4, 8) \]

For point W (-2, -3):

\[ W' = (-2 \cdot 4, -3 \cdot 4) = (-8, -12) \]

Summary of Results:

• Coordinates of point Y after dilation: (4, 8)
• Coordinates of point W after dilation: (-8, -12)

To answer your specific question using the multiple-choice options provided, only the coordinates after dilation for point W were represented. The options you provided appear to be incorrect since none correspond to the dilated W at (-8, -12). However, the coordinates of W after dilation are correctly calculated as (-8, -12).