Which transformation produces the graph of y = -f(-x)?

Reflection over both axes (rotation 180° about origin) f(-x): reflect over y-axis. Then -(\cdot): reflect over x-axis. Together: 180° rotation about origin.

Reflection over both axes (rotation 180° about origin)

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Nonlinear Functions

SAT Math· difficulty 4/5

y = -f(-x)

A
$y = x$
B
$x$
C
$Reflection over both axes (rotation 180° about origin)$
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D
$y$

Explanation

f(-x)

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