Question

Find the quadratic function for f(x) = ax2 + bx +c and a=1, b=4, c= 3

Answer 1

f(x) = g(x - 3)(x - 5) for some g

f(x) = g(x^2 - 8x + 15)

Substitute (4, -1) for (x, f(x)) and solve for g.

-4 = g(4^2 - 8(4) + 15)

-4 = g(-1)

g = 4

f(x) = 4x^2 - 32x + 60

Explanation: