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MathNet 2024-part-06 — 165 problems (EN–VI) Question 7

Math Olympiad Vault · MathNet 2024-part-06 — 165 problems (EN–VI)

Question 7

The graph of $y = e^{x+1} + e^{-x} - 2$ has an axis of symmetry. What is the reflection of the point $(-1, \frac{1}{2})$ over this axis?
(A) $(-1, -\frac{3}{2})$ (B) $(-1, 0)$ (C) $(-1, \frac{1}{2})$ (D) $(0, \frac{1}{2})$ (E) $(3, \frac{1}{2})$