First, we need to rewrite the given equation in the form y = ax^2 + bx + c. By rearranging the terms, we get: y = (1/4)x^2 + x + 4.
Now we can identify the values of a, b, and c: a = 1/4 b = 1 c = 4
Using the formulas for h and k: h = -b/2a = -1 / (2 * (1/4)) = -2 k = c - (b^2 - 4ac)/4a = 4 - ((1)^2 - 4*(1/4)4)/(4(1/4)) = 3
So, the vertex (h, k) of the parabola is (-2, 3).
Therefore, the correct answer is: (h, k) = (-2, 3)
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