Given the quadratic function y = − 12x2 + X + 32, we can solve the following problems: (1) change the quadratic function into the form of y = a (X-H) 2 + K; (2) write the vertex coordinates and symmetry axis of the quadratic function

(1) Y = − 12x2 + X + 32 = - 12 (x2-2x + 1) + 2 = - 12 (x-1) 2 + 2, that is, y = - 12 (x-1) 2 + 2; (2) from (1), we know that the vertex formula of the function is y = - 12 (x-1) 2 + 2 ℅ the vertex coordinates of the function are (1, 2); the axis of symmetry is a straight line, x = 1

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