The rule g(x) = negative f(x) produces which kind of reflection of the graph of f?
- A horizontal reflection
- A vertical reflection
- A vertical stretch
- A horizontal shift
Show answer and 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_