Question

For f(x) = ax^2 + bx + c, if f(1) = 1 and f(-1) = 0, find the value of a + c.

Answer 1

Answer:

1/2

Step-by-step explanation:

Given, f(x)=ax²+bx+c

f(1)=a(1)²+b(1)+c=1

a+b+c=1 -------(1)

f(-1)=0

a(-1)²+b(-1)+c=0

a-b+c=0-----(2)

(1)+(2) gives

2(a+c)=1

→a+c=1/2.