hi(Hi)

here's my question :

Construct an example of a polynomial so that its graph goes through the points

and

thanks(Happy)

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- Jun 21st 2009, 12:40 PMRaohconstructing a graph
hi(Hi)

here's my question :

Construct an example of a polynomial so that its graph goes through the points

and

thanks(Happy) - Jun 21st 2009, 12:46 PMskeeter
- Jun 21st 2009, 01:28 PMRaoh
thanks for your reply,but i don't know what degree is the polynomial,that was the question (Worried).

thanks again. - Jun 21st 2009, 01:52 PMskeeter
- Jun 21st 2009, 02:01 PMyeongil
If you want a quadratic, this is how to do it:

Pick one of the points as the vertex -- though it does matter which one you pick, because you get different answers otherwise, the problem is only asking for an example. Let's pick (3, -2).

The vertex form of the parabola is

Plug in the vertex for (h, k):

Plug in the other point for (x, y) to solve for a:

So the equation of the parabola would be

01 - Jun 21st 2009, 02:19 PMRaoh
thanks a lot guys(Happy)

if i wanted to give an example of polynomial of degree 1,it will have always the form :

and could be anything,am i right ?

thanks again - Jun 21st 2009, 02:28 PMskeeter
- Jun 21st 2009, 02:31 PMyeongil
- Jun 21st 2009, 02:33 PMRaoh
- Jun 21st 2009, 02:40 PMyeongil
- Jun 21st 2009, 02:45 PMRaoh
i don't get it (sorry(Itwasntme)),if a line passes by those two points,it will have always the same slope ,right ?

thanks for helping me.(Happy) - Jun 21st 2009, 02:47 PMyeongil
- Jun 21st 2009, 02:54 PMRaoh
oooops ! sorry.. my mistake (Itwasntme),in your previous post you wrote :

,the constant depends in and ,right ? - Jun 21st 2009, 03:26 PMRaoh
ok,thanks guys i got it (Wink)

(Clapping)