Question 391708
<pre><font size = 4 color = "indigo" face = "batangche"><b>
Try a quadratic equation  y = ax²+ bx + c

Substitute x = 2 and y = 11

  y = ax²+ bx + c
 11 = a(2)²+ b(2) + c
 49 = a(3)²+ b(3) + c
123 = a(4)²+ b(4) + c

Simplify:

 11 =  4a + 2b + c
 49 =  9a + 3b + c
123 = 16a + 4b + c

Solve that system of equations and get

a = 18, b = -52, c = 43

So an equation that fits the given data is:

 y = ax²+ bx + c
 y = 18x²- 52x + 43

Edwin</pre>