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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.


 


 


 


 


 


 


 

Grade:12

1 Answers

Ramesh V
70 Points
11 years ago

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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