On the parabola of quadratic function For a parabola composed of three points a (- 1,0) B (3,0) C (0, - 1), the point q is on the Y-axis and the point P is on the parabola For a parabola composed of three points a (- 1,0) B (3,0) C (0, - 1), the point q is on the Y-axis and the point P is on the parabola. If we want to make the quadrilateral composed of point qpab a parallelogram, we need to find the coordinates of point P. sorry, we missed a parallelogram in the above problem

On the parabola of quadratic function For a parabola composed of three points a (- 1,0) B (3,0) C (0, - 1), the point q is on the Y-axis and the point P is on the parabola For a parabola composed of three points a (- 1,0) B (3,0) C (0, - 1), the point q is on the Y-axis and the point P is on the parabola. If we want to make the quadrilateral composed of point qpab a parallelogram, we need to find the coordinates of point P. sorry, we missed a parallelogram in the above problem

Let the parabola y = ax ^ 2 + BX + C
Bring ABC three points to get a = 1 / 3 B = - 2 / 3 C = - 1
Let P (x0, Y0)
Because qpab is a parallelogram, PQ and ab are parallel and equal
AB is on the x-axis, so Q (0, Y0)
Because PQ = AB, x0 = 3 - (- 1) = 4
If P is on a parabola, then Y0 = 5 / 3