y=ax^(2)+bx;(a,b)

The graph of a quadratic polynomial y=ax^(2)+bx+c,a,b, epsilonR is shown. Find its vertex,roots and D.

The graph of a quadratic polynomial y=ax^(2)+bx+c,a,b, epsilonR is shown. Find its vertex,roots and D.

Form the differential equations of the following families of curves by elimnating the parameters (arbitrary constants) given against them in the brackets. (i) y = c(x-c)^(2), (c) (ii) xy = a e^(x) + b e^(-x), (a, b) (iii) y = (a+bx)e^(Kx), (a,b) (iv) y = a cos (nx + b), (a,b) (v) = y = a e^(3x) + be^(4x), (a,b) (vi) y = ax^(2) + bx, (a,b) (vii) ax^(2) + by^(2) = 1 (a,b)

From the graph of a quadratic polynomial y=ax^(2)+bx+c, a,b, epsilonR , Find its vertex, roots and D.

For which of the following graphs of the quadratic expression y=ax^(2)+bx+c , the product a.b.c is negative.

The maximum and minimum values of y=(ax^(2)+2bx+c)/(Ax^(2)+2Bx+C) are these for which :

Focus of parabola y = ax^(2) + bx + c is

Focus of parabola y = ax^(2) + bx + c is

Focus of parabola y=ax^(2)+bx+c is