Translate the square of the parabola y = 2x left and right so that it intersects the X axis at point a and the Y axis at point B. if the area of △ AOB is 8, find the analytical formula of the parabola after translation

Let the parabolic equation be y = 2 (x-a) ^ 2
From a coordinate to (a, 0), B coordinate to (0,2a ^ 2)
So s △ AOB = 1 / 2 * | a | * 2A ^ 2 = | a | * a ^ 2 = 8
a=±2
So the parabolic equation is y = 2 (x ± 2) ^ 2

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