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?

Answer 1

To perform a dilation centered at the origin, we multiply the coordinates of each point by the scale factor.

Question 1:

For point Y = (1, 2):

• Dilation with a scale factor of 4: \[ Y' = (4 \cdot 1, 4 \cdot 2) = (4, 8) \] Thus, the coordinates of point Y after the dilation are (4, 8).

Question 2:

For point W = (-2, -3):

• Dilation with a scale factor of 4: \[ W' = (4 \cdot -2, 4 \cdot -3) = (-8, -12) \] Thus, the coordinates of point W after the dilation are (-8, -12).