Conic Sections · Reflection of parabola in line

Let the image of parabola

x^2 = 4y

, in the line

x - y = 1

(y + a)^2 = b(x - c)

a, b, c \in \mathbb{N}

. Then

a + b + c

is equal to

We corrected a printing error in the original paper

Source printed “ $(y + \alpha)^2 = b(x - c)$ ” (Greek $\alpha$ for the $a$ of “ $a, b, c \in \mathbb{N}$ ” and “ $a + b + c$ ”).

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