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 emphasizes that the Red Scare was not a standalone event but rather a continuation of longstanding anxieties surrounding communism, rooted in historical events such as the Russian Revolutions, and illustrates the enduring fears that persisted throughout American history regarding communism and its perceived threats.