Question

write the coordinates of the vertices after a dilation with a scale factor of 4, centered at the origin.
(graph with points d(-2, -1), e(2, -1), f(-2, 1) and grid from -10 to 10 on both axes)
d((□, □))
e((□, □))
f((□, □))

Explanation:

Step1: Find original coordinates

From the graph, \( D(-2, -1) \), \( E(2, -1) \), \( F(-2, 1) \).

Step2: Apply dilation (scale factor 4, origin)

Dilation rule: \((x,y)\to(4x,4y)\).
For \( D \): \( (-2\times4, -1\times4)=(-8, -4) \)
For \( E \): \( (2\times4, -1\times4)=(8, -4) \)
For \( F \): \( (-2\times4, 1\times4)=(-8, 4) \)

Answer:

\( D'(-8, -4) \)
\( E'(8, -4) \)
\( F'(-8, 4) \)