Multiple choice A parabola with a vertical axis has its vertex at the origin and passes through point (7,7). The parabola intersects line y = 6 at two points. The length of the segment joining these points is

Multiple choice The coordinates of the vertex of the parabola whose equation is y = 2x^2 + 4x - 5 are

Q&A If \tan \alpha and \tan \beta are the two real roots of the function x^2+px+q=0, find the value of \dfrac{\sin (\alpha +\beta) }{\cos(\alpha -\beta )}

Q&A f(x) is a quadratic function whose graph has a vertex at the point (-3 , 2) and has a y-intercept at the point (0 , -16).

Q&A Write the quadratic function f(x) =-2x^2 -8x - 10 in its vertex form and find the vertex of the parabola.