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The rule g(x) = negative f(x) produces which kind of reflection of the graph of f?
AA horizontal reflection
BA vertical reflection
CA vertical stretch
DA horizontal shift
Answer & Solution
Correct answer: B. A vertical reflection
1. Multiplying the whole output by negative 1 flips every output to the other side of the horizontal axis.
2. A vertical reflection reflects a graph vertically across the x-axis, so that is what g does.
3. Multiplying the input by negative 1 instead would give a horizontal reflection across the y-axis.
_Source: OpenStax College Algebra (CC BY 4.0), section 3.5 Transformation of Functions_