Let r and s be the roots of y^2 - 19y + 7. Find (r-2)*(s-2).

Answer 1

r-2 and s-2 are the roots of

(y+2)^2 - 19(y+2) + 7 = 0
y^2 - 15y - 27 = 0

The product of the roots of the shifted function is -27