Question

Can someone help me?

I'm not sure how to construct a polynomial function with three points, I want to learn how to do this and I want to solve the equation on my own, so if someone could explain with a random example.

Answer 1

@ganeshie8 @ParthKohli @TuringTest @whpalmer4 @texaschic101 @eliassaab @chmvijay @charlotte123 @bookworm00981 @johnweldon1993 @rose21 @Ashleyisakitty

Answer 2

Anyone... Please, help?

Answer 3

Let the three points be (1,2),(-1,6) and (2,3) for example'
Let
\[
f(x) = a x^2 + b x +c

\]
be the polynomial. We need to find three unknowns a, b, c and we will be done.
We need three equations in three unknowns.
Can you write these three equations?

Answer 4

\[
f(1)=a + b + c=1\\
f(-1)=a - b+c =6\\
f(2)= 4 a +2 b +c=3
\]
Solve these equations and you are done.
You find a=1, b=-2 and c=3