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College Algebra / Unit 5   Alg 284 short lesson, about 20 seconds

Reflections

Captions available

The idea

A negative outside a function reflects its graph across the x-axis, and a negative inside reflects it across the y-axis: −f(x) flips outputs, f(−x) flips inputs.

In practice

For f(x) = x³: −f(1) = −1 flips (1, 1) downward, while f(−1) = −1 mirrors it leftward.

Your place on the trail

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