he amount M (in billion of dollars) of mortgage debt outstanding in the US from 1990 to 2001 can be approximated by the function

Question

M(t)= 29.9t^2 + 3892 where t=0 represents 1990.

Rewrite the function so that t=0 represents 2000.

Answer 1

2000 = 1990 + 10

M ( t ) = 29.9 ( t + 10 ) ^ 2 + 3892

M ( t ) = 29.9 ( t ^ 2 + 2 t * 10 + 10 ^ 2 ) + 3892

M ( t ) = 29.9 ( t ^ 2 + 20 t + 100 ) + 3892

M ( t ) = 29.9 t ^ 2 + 29.9 * 20 t + 29.9 * 100 + 3892

M ( t ) = 29.9 t ^ 2 + 598 t + 2990 + 3892

M ( t ) = 29.9 t ^ 2 + 598 t + 6882