The statement that best analyzes continuity in the impact of the Red Scare is:
"The Red Scare was an extension of past fears of communism after the success of the Russian Revolutions."
This statement highlights how the Red Scare was not an isolated event, but rather part of a broader historical context of fear and suspicion regarding communism that had developed since the early 20th century, particularly in response to the Russian Revolution of 1917. It emphasizes the continuity of anti-communist sentiment across different periods in U.S. history.