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QUESTION IMAGE

which scale factors produce an expansion under a dilation of the origin…

Question

which scale factors produce an expansion under a dilation of the original image?
select each correct answer.
-8
-0.7
0.8
7

Explanation:

Step1: Recall dilation expansion rule

A dilation produces an expansion if the absolute value of the scale factor $k$ satisfies $|k| > 1$.

Step2: Calculate absolute values

For $-8$: $|-8| = 8 > 1$
For $-0.7$: $|-0.7| = 0.7 < 1$
For $0.8$: $|0.8| = 0.8 < 1$
For $7$: $|7| = 7 > 1$

Step3: Identify valid scale factors

Select values where $|k|>1$.

Answer:

-8, 7