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WHAT DO YOU MEANT BY ABSOLUTE TERM OF A POLYNOMIAL? EG:A QUADRATIC POLYNOMIAL Y=F(X) WITH ABSOLUTE TERM 3 ,NEITHER TOUCHES NOR INTERSECTS THE ABSCISSA AXIS ,AND IS SYMMETRIC ABOUT X=1. FIND THE VERTEX & OF THE CURVE.
WHAT DO YOU MEANT BY ABSOLUTE TERM OF A POLYNOMIAL?
EG:A QUADRATIC POLYNOMIAL Y=F(X) WITH ABSOLUTE TERM 3 ,NEITHER TOUCHES NOR INTERSECTS THE ABSCISSA AXIS ,AND IS SYMMETRIC ABOUT X=1.
FIND THE VERTEX & OF THE CURVE.
An equation of the type where a, b, c are constants is called a quadratic equation in the variable x or an equation of the second degree. In the above equation, a is the coefficient of x2 b is the coefficient of x and c is the constant term or absolute value fo plynomial so, here constant is 3, It can ba a PARABOLa eqn of parabola which is symmetric abt x=1 can open upawards without touching x-axis or open downwards and since contsnt term is 3: eqn is ; y = (x-1)2 + 3 or y = -(x-1)2 - 3 with vertex ( 1,3 ) or (1,-3) respectively -- regards Ramesh
An equation of the type
where a, b, c are constants is called a quadratic equation in the variable x or an equation of the second degree.
In the above equation,
a is the coefficient of x2
b is the coefficient of x and c is the constant term or absolute value fo plynomial
so, here constant is 3,
It can ba a PARABOLa
eqn of parabola which is symmetric abt x=1 can open upawards without touching x-axis or open downwards and since contsnt term is 3:
eqn is ; y = (x-1)2 + 3 or y = -(x-1)2 - 3
with vertex ( 1,3 ) or (1,-3) respectively
--
regards
Ramesh
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