+0  
 
0
260
1
avatar

I have a curved graph with only two coordinates... (-2,5) and (2,1) How do I determine the explicit formula for this curve?

Guest May 29, 2017
 #1
avatar+92440 
+1

 

With only two coordinates  given, there could be many possibilities......

 

One possibilty  can be found by solving the system for a and b  to generate a polynomial in the form  y = ax^2  + bx

 

a(-2)^2  + b(-2)   = 5

a(2)^2  + b(2)  =    1       simplify

 

4a  - 2b   = 5

4a  +  2b  = 1         add the equations

 

8a   = 6      divide by 8 on both sides

 

a   =  6/8  =  3/4

 

And  using  4a - 2b =  5    to solve for b, we have

 

4(3/4) - 2b  =  5

3 -  2b  =  5

-2b  =   2     divide through by -2

b  = -1

 

So.......a possible function is :

 

y =  (3/4)x^2  - 1x

 

 

 

cool cool cool

CPhill  May 29, 2017
edited by CPhill  May 29, 2017

35 Online Users

avatar
avatar
avatar
avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.