What is the y-intercept of the quadratic function f (x) = (x - 6) (x - 2) ?

A (0,-6)

B (0,12)

C (-8,0)

D (2,0)

Answer: (0, 12)

f (x) = (x-6) (x-2)

(Multiply or foil) ... x (x-6) - 2 (x-6) = x^2 - 6x - 2x + 12 = x^2 - 8x + 12.

So we have, f (x) = x^2 - 8x + 12 (in the form, ax^2 + bx + c ... c is the y-intercept ... so, 12)

the y-intercept is where the graph intercepts the y-axis, meaning x=0.

f (0) = (0) ^2 - (0) x + 12 = 12 ... (0, 12)