answer for math questions about parabolas
Where are the qustions? Your parabola is opened up because the first coefficient is positive, The parabola has two roots defined by the equation
x2 -2x + 3 = 0
x2 -2x +3 = (x-3)(x+1) = 0
Thus the roots are x1 = 3 and x2 = -1. The axis of symmetry for the parabola is the midpoint of the segment [-1,3], which means x - coordinate of the vertex is -1 + [3-(-1)]/2 = 1. Because the parabola is opened up it has only minimum which is equal to y(1) = 2.