The image of quadratic function y = ax + BX + C intersects with X axis at points a (- 8,0), B (2,0), and intersects with y axis at point C, ∠ ACB = 90 degree. (1) find the analytic expression of quadratic function. (2) find the vertex coordinates of image of quadratic function

The image of quadratic function y = ax + BX + C intersects with X axis at points a (- 8,0), B (2,0), and intersects with y axis at point C, ∠ ACB = 90 degree. (1) find the analytic expression of quadratic function. (2) find the vertex coordinates of image of quadratic function

1. Let C (0, y) in RT triangle ACB, AC square + BC square = 100, AB square + y square + y square + Bo square = 100, 2Y square = 32, y square = 16, y = 4 or y = - 4 (rounding) take (- 8,0), (2,0), (0,4) into it to get the analytic formula. 2. Vertex coordinates are very good to find end