Find the vertex of the parabola whose equation is y = x^2 + 8x + 12.

The vertex of the parabola is (-4,-4).

Step-by-step explanation:

If a quadratic function is defined as

             ... (1)

Then the vertex of the function is

The given function is

            .... (2)

From (1) and (2), we get a=1,b=8 and c=12.

Substitute x=-4 in the given equation.

Therefore the vertex of the parabola is (-4,-4).

560

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