Advanced MathMediumMaximum of a parabola after reflection across the x-axis
Advanced Math practice question
In the xy-plane, the graph of y = 2(x − 3)² − 8 is reflected across the x-axis. What is the maximum value of y on the reflected graph?
Answer: 8
Reflecting across the x-axis gives y = −2(x − 3)² + 8, a downward parabola with vertex (3, 8). Its maximum value is 8.
Common wrong answers
- If you answered 2
- 2 is the coefficient, not a value of y.
- If you answered 3
- 3 is the x-coordinate of the vertex.
- If you answered -8
- −8 is the minimum of the original graph, not the maximum of the reflection.
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