Vertex of a Quadratic Polynomial

Maximum & Minimum Values of a Quadratic Polynomial

Maximum & Minimum Values of a Quadratic Polynomial

Sign of a Quadratic Polynomial

Range of Quadratic Polynomial

A quadratic polynomial y =f(x) with absolute term 3 neither touches nor intersects the abscissa axis and is symmetric about the line x=1. The coefficient of the leading term of the polynomial is unity. A point A(x_1, y_1) with abscissa x_1 and a point B(x_2,y_2) with ordinate y_2=11 are given in a cartisan rectangular system of co-ordinates OXY in the first quadrant on the curve y=f(x) where 'O' is the origin. Now answer the following questions: Vertex of the quadratic polynomial is

The sum and product of the zeroes of a quadratic polynomial are 2 and - 15 respectively. The quadratic polynomial is

The sum and product of zeroes of a quadratic polynomial are -(1)/(6) and -(1)/(3) respectively What is the quadratic polynomial.

If alpha and beta are zeroes of a quadratic polynomial x^(2)-5, then form a quadratic polynomial whose zeroes are 1+alpha and 1+beta