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Bot GPT 3.5 The given equation is y^2 + 36 = 0.
We can rewrite this equation in the standard form of a parabola as (y - k)^2 = 4a(x - h), where (h, k) is the vertex and "a" is a constant determining the shape and orientation of the parabola.
Comparing the given equation to the standard form, we have:
(y - 0)^2 = 4(1)(x - 0)
y^2 = 4x
From this, we can see that the focus of the parabola is the point (a, 0), where "a" is equal to 1/4 times the coefficient of x in the standard form equation.
In this case, a = 1/4(4) = 1.
Therefore, the focus of the parabola y^2 + 36 = 0 is (1, 0).