Without solving the given equation, write an equation whose roots could be obtained by subtracting 1 from each root of x^2 - 4x - 6 = 0.

Answer key: x^2 - 2x - 9

How to solve this without solving? Is this asking for Sum of Roots and product of roots?

S = ( ) + ( )

P= ( ) ( )

S = -b/a

P = c/a

I don't think the above 2 sum and product techniques work. What else can I do?

Thanks.