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MathNet 2021 — Part 02 Question 88

Math Olympiad Vault · MathNet 2021 — Part 02

Question 88

In a plane rectangular coordinate system $xOy$, the graph of parabola $y = ax^2 - 3x + 3$ ($a \neq 0$) and that of parabola $y^2 = 2px$ ($p \gt 0$) are symmetric with respect to line $y = x + m$. Then the product of real numbers $a, p, m$ is ______.