Thanks for contributing an answer to Mathematics Stack Exchange!Y=x^24x2 Your questions can be answered after we change equation to standard form y=(xh)^2k, with (h,k) being the (x,y) coordinates of the vertex completing the square to convert to standard form, y=(x^24x4)24 y=(x2)^26 This parabola opens downward because the coefficient of x^2 is negative If the coefficient is positive, itPositive quadratic y = x^2 Negative quadratic y = x^2 Parabola (concave up) The vertex (p,q) is the minimum point when a parabola is concave up In this case y =q is the minimum value and so the range is R = {y e R y > q } Parabola (concave down) The vertex (p,q) is the maximum point for a parabola when it is concave down In this case y = q is the maximum value and so the range is R
Graph Y X 2 Youtube
Y=x^2-4x+2 parabola