Absolutely absolute

Algebra Level 3

Below is the graph of \(y=f(x)\):

Match the following graphs with the correct equations:

\(y_1=f(|x|)\)
\(y_2=|f(x)|\)
\(y_3=|f(-x)|\)
\(y_4=|f(|x|)|\)

Graph A

Graph B

Graph C

Graph D

\[A: y_1, B: y_3, C: y_2, D: y_4\] \[A: y_4, B: y_3, C: y_2, D: y_1\] \[A: y_3, B: y_4, C: y_1, D: y_2\] \[A: y_1, B: y_2, C: y_4, D: y_3\] \[A: y_1, B: y_2, C: y_3, D: y_4\] \[A: y_3, B: y_4, C: y_4, D: y_1\]

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