# Math Help - Find the function by knowing three points on the graph

1. ## Find the function by knowing three points on the graph

A quadratic function goes through the points (2,3) (3,4) (6,-5). Find the function. Please help me with this.

2. Originally Posted by Anna55
A quadratic function goes through the points (2,3) (3,4) (6,-5). Find the function. Please help me with this.
$y = ax^2 + bx + c$

So using (2, 3):
$3 = 4a + 2b + c$

Do this for all three points and you will have three equations in the unknown variables a, b, and c.

-Dan

3. Thank you I understand now.