If f(x)=ax^2 + bx + c and f(0)=1 and f(-1)=3 what is a-b

Answer 1

Greetings! Lets solve this shall we ?

So, we must find what (a-b) is given the function f(x) = ax² + bx + c, with f(0) = 1 and f(-1) = 3. First, lets begin with f(0) = 1 such that

f(0) = a(0)² + b(0) + c = 1. Then c = 1 ! Then we find f(-1) = a(-1)² + b(-1) + c = 3. Next, we see that

f(-1) = a - b + c = 3.......We plug in c = 1 to get

a - b + 1 = 3........Finally, subtract 1 to get

(a - b) = 2 !

I hope this helped!