Question 810630
Find an equation of the quadratic function in standard form whose graph contains the points (0,5), (1,10), and (2, 19). 
----
Form:: ax^2 + bx + c = y
Solve for a,b,c
--------------------
(0,5) gives:: 0a + 0b + c = 5
(1,10)gives::  a +  b + c = 10
(2,19)gives:: 4a + 2b + c = 19
------------------------
I used my TI-84 to get::
a = 2
b = 3
c = 5
==========
Equation::
y = 2x^2 + 3x + 5
====================
Cheers,
Stan H.
====================