Understanding Quadratic Functions

The video tutorial explains how to determine the sum of coefficients A and B in a quadratic function f(x) = Ax^2 + Bx + C, given specific function values. By substituting x=0, the constant C is found to be 2. Then, using x=1, the equation A + B + 2 = 4 is derived, leading to the solution A + B = 2.

What is the main goal of the problem introduced in the video?

• To solve for x

• To calculate the derivative

• To determine a + b

• To find the value of c

What value is obtained when x = 0 is substituted into the function?

• c = 4

• b

• c = 2

• a

After substituting x = 0, what does the function simplify to?

• ax^2 + bx + 2

• ax^2 + bx + 4

• ax^2 + bx + c

• ax^2 + bx

What equation is formed after substituting x = 1 into the function?

• a + b + 4 = 2

• a + b = 4

• a + b = 2

• a + b + 2 = 4

What is the final value of a + b?

• 1

• 0

• 3

• 2