Question

write the coordinates of the vertices after a dilation with a scale factor of 4, centered at the origin.
q\\(\boxed{\quad}, \boxed{\quad}\\)
r\\(\boxed{\quad}, \boxed{\quad}\\)
s\\(\boxed{\quad}, \boxed{\quad}\\)

Explanation:

Step1: Find original coordinates

From the graph, \( Q(-2, -2) \), \( R(-2, 2) \), \( S(2, -2) \).

Step2: Apply dilation (scale factor 4, origin)

Dilation rule: \((x,y)\to(4x,4y)\).

• For \( Q(-2, -2) \): \( Q' = (4\times(-2), 4\times(-2)) = (-8, -8) \)
• For \( R(-2, 2) \): \( R' = (4\times(-2), 4\times2) = (-8, 8) \)
• For \( S(2, -2) \): \( S' = (4\times2, 4\times(-2)) = (8, -8) \)

Answer:

\( Q'(-8, -8) \)
\( R'(-8, 8) \)
\( S'(8, -8) \)