a. Find the coordinates of the vertex of the parabola y = 4x 2 12x +

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a. Find the coordinates of the vertex of the parabola y = 4x2 − 12x + 7.

b. Find the values of the constant k for which the line y = kx + 3 is a tangent to the curve y = 4x2 − 12x + 7.

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