# How do you find a quadratic function f(x)=ax^2+bx+c for which f(1)=-2, f(-3)=-46, and f(3)=-16?

##### 2 Answers

Jun 2, 2015

Jun 2, 2015

The question gives us 3 simultaneous equations to solve:

Subtracting a couple of these we find:

So

Then

Add

So

Then

Subtract

So

Check: